Curriculum Vitae

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Curriculum Vitae Name: Allaberen Ashyralyev

Nationality: Turkmen Date of birth: August 1, 1955

Languages: Turkmen, Russian, English, Turkish

Permanent Address: Mir 1,dom 1 A,kv. 9-10,744017, Ashgabat, Turkmenistan Present Address: Barış Mahallesi, Kıbrıs Caddesi, Bulutlar Sitesi,

A-1, Daire no:15, Beylikdüzü, İstanbul, Turkiye Yakın Doğu Üniversitesi, Lojmanlar Binasi, Daire No:825 (in Lefkoşa)

Telephone: Office+(0392) 2236464/434. Home 0099(312)460891 in Ashgabat, +(9) 02128536036 in Istanbul

Mobile tel. in Turkmenistan +99362267952, in Turkey+905395876484, in Cyprus +90 533 848 0491

e-mail: allaberen.ashyralyev@neu.edu.tr, aallaberen@gmail.com, ashyralyev@yahoo.com, aashyr@yahoo.com

http://staff.neu.edu.tr/allaberen.ashyralyev/

Near East University Lefkoşa(Nicosia), Mersin 10 Turkey TRNC

Peoples' Friendship University Russia, Ul Miklukho Maklaya 6, Moscow 117198, Russia and

Institute of Mathematics and Mathematical Modeling, 050010, Almaty, Kazakhstan Education

Professor : 1995 Higher Education and Certifying Committee of Turkmenistan.

Post Doctorate(Doctor of Science): 1992 Inst. of Mathematics, Academy of Sciences, Kiev, Ukraine.

Post Doctorate Program : 1990-1992 Physical & Mathematical Sciences, Functional Analysis Dept., Voronezh University, Russia.

Assoc. Prof. : 1989 Department of Mathematical Analysis, Turkmen State Univ., Turkmenistan.

Candidate of Science (PhD) : 1983 Voronezh State University, Russia.

PhD Program :1980-1983 Physical-Mathematical Scien. Dept., Functional Analysis &

Operator Equations, Voronezh State University, Russia.

Proffessional

Development Program : 1979 -1980,1986,1989 Dept. of Functional Analysis & Operator Equations, Russia.

Proffessional

Development Program : 1987 -1988 Dept. of Mathematics, UC Santa Barbara, USA.

MS and B.S ‘ : 1972 -1970 Mathematics (Exceptional Diploma), Mathematics Faculty, Turkmen State University, Ashgabat, Turkmenistan.

Prim.-Sec. Education : 1962 -1972 Kara-Kala, Turkmenistan (Gold Medalist).

Teaching Experience

2017- Present: Visiting Prof. Peoples' Friendship University Russia, Ul Miklukho Maklaya 6, Moscow 117198, Russia

2016- Present: Prof., Department of Mathematics, Near East University,Lefkoşa(Nicosia), Mersin 10 Turkey TRNC

2015- Present: Visiting Prof. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan.

1999-2016: Prof., Department of : Mathematics & Elementary Mathematics Education, FU, Istanbul, Turkey.

1995- 2004: Visiting Prof., Dept. of Mathematics, ITTU, Ashgabat,Turkmenistan.

1995-1999: Prof., Department of Mathematical Analysis & Applied Mathematics, Mahtumguly Turkmen State Univ., Ashgabat, Turkmenistan.

1977-1995: Ass. Prof., Assoc.Prof., Department of Mathematical Analysis,Mahtumguly Turkmen State

Univ., Ashgabat, Turkmenistan.

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Memberships:

2009-Present: Editorial Board Member of “Vestnik Odessa Nation. Univ. Mathematics-Mechanics”.

2009-Present: Editorial Board Member of “Iranian Journal of Optimization”.

2009-Present: Editorial Board Member of Journal of “Contemporary Mathematics”.

2007-Present: Institute of Applied Mathematics Middle East Technical University,Ankara, Turkey.

2006-Present: International Society of Difference Equations.

2005-Present: Turkish-American Scientists and Scholars Association.

2005-Present: American Mathematical Society.

2005-Present: Editorial Board Member “Global Journal of Mathematics and Mathematical Sciences”.

2005-Present: Editorial Board Member “Intern. Journal of Pure and Applied Mathematical Sciences”.

2014-Present: Editorial Advisory Board Member “Journal of Advances in Mathematics”.

2014-2016 Editorial Advisory Board Member “Journal of Applied Mathematics”.

1993-Present: Turkmenistan State Committee of Intern. Muhammet Al Horezmi Awards in the Fields of Sciences and Technology.

2008-Present: Organizer of Mathematical Olympiads, Buyukcekmece, Turkey (First in 2008, Second in 2009, Third in 2010, Fourth in 2011, Fifth in 2012, Sixth 2013)

2013-2015 Member of Associate Editor of Journal “New Trends in Mathematical Sciences“

2012- 2014 Member of Editorial Board of Journal of Applied Mathematics & Information Sciences 2013-2015 Member of Editorial Board of The Journal of Nonlinear Science and Applications (JNSA)

2010- Present: Member of Editorial Board of TWMS Journal of Applied and Engineering Mathematics 2012-Present: Lead Guest Editor of Annual Special Issue "Well-Posed and Ill-Posed Boundary Value Problems for PDE" in Abstract and Applied Analysis

2012-2016 Editor-in-Chief of Journal “Contemporary Analysis and Applied Mathematics”

2012-Present: Chair or co-chair International Conference on Analysis and Applied Mathematics ICAAM 2012 (Gumushane, Turkey), ICAAM2014 (Chimkent, Kazakhsatan), ICAAM2016 (Almaty, Kazakhsatan),ICAAM2018 (North Cyprus, Turkey).

2012-Present: Member of the International Council of Scientists of the Latvian Academy of Sciences 2012-Present: Guest Editor of Special Issue "Recent Trends on Boundary Value Problems and Related Topics” in Boundary Value Problems,2012

2012-Present: Fellow of the Islamic World Academy of Sciences (IAS)

2012-: Guest Editor of Special Issue "Recent Trends on Boundary Value Problems and Related Topics” in Boundary Value Problems

2016-: Guest Editor of Special Issue "Recent Advances in Pure and Applied Mathematics"

in Filomat.

2012-Present: Member of the advisory board of ICPAM of Trakya University, Edirne, Turkey, 2014-Present: Lead Guest Editor of Special Issue "Thematic series on Recent Advances in Partial Differential Equations and Their Applications" in Boundary Value Problems.

2014-Present: Member of the editorial advisory board of "Pure and Applied Mathematics Letters".

2014-Present: Member of the editorial advisory board of “Journal of Computer Science and Applied Mathematics” (J. Comp. Sci. Appl. Math.).

2015-Present Member of the International Editorial Advisory Board of "Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan" (PIMM).

2015-Present Member of the Editorial Advisory Board of journal “Fractional Differential Calculus”.

2015-Present Member of the Editorial Advisory Board of Journal "Enlightenment of Pure and Applied Mathematics".

2015-Present Member of Editorial Board of TWMS Journal of Pure and Applied Mathematics 2015-Present Member of Editorial Board of Journal of Advances in Applied Mathematics 2017-Present Member of Editorial Board of Journal of Belgorod State University "Scientific Bulletin Mathematics & Physics"

Awards:

2015 He was selected as Thomson-Reuters Science Leader in the World Science

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Researchers from the Central Asian Region in 2015.

2012 He was elected as a Fellow of the IAS.

2009 Succesful national scientist of Turkmenistan in last 30 years, from list of MyNetResearch Empowering Collaboration Search (which is based on the papers published in journals appearing in Web of Science).

1996 Master Teacher of Turkmenistan (Ministry of Education,Turkmenistan).

1994 Soros’s Prize for Scientists, USA.

1983 First Rank Prize for Ph.D Thesis, Voronezh State University,Voronezh, Russia.

1974-1977 Lenin’s Grant for Students.

1972 Gold Medal for excellence at Secondary School Level.

**List of Selected Publications (Papers in SCI, SCI Exp., SSCI and AHCI - with *) A-Books (16 Books)**

1.Ashyralyev, A.1983. "Investigations of the difference schemes for parabolic equations in the spaces of smooth functions, Voronezh State University, Voronezh, pp:148.

2.Ashyralyev, A., Sobolevskii, P.E. 1989. Positive operators and the fractional spaces, The methodical instructions for students of engineering. Offset Laboratory VSU, Voronezh, pp: 13.

3.Ashyralyev, A., Ashirov, O.A., Geldiev, H., Durdyev, N., Imamberdiev, B., Hudaykulyev, G. 1990.

Tests and methodical instructions for the laboratory works for functional analysis and integral equations, TSU Printing Office, Ashgabat, pp: 53.

4.Ashyralyev, A. 1992. "Method of the positive operators of the investigation of the difference schemes of the high order of accuracy for parabolic and elliptic equations", Inst.of Mathematics, Acad.of Scien.,Kiev,Ukraine, pp: 312.

5.Ashyralyev, A., Sobolevskii, P.E. 1994. Well-Posedness of Difference Parabolic Equations, Birkhauser Verlag: Basel. Boston. Berlin, Vol.69, pp: 349.

6.Ashyralyev, A.,Amanov K.1995. On coercive solvability of second boundary value problem for elliptic equations, TSNU Printers, Ashgabat, pp:50.

7.Ashyralyev, A., Ashirov A. 1996. Problems and methodical instructions for the laboratory works for the difference schemes for differential equations, TSU Printing House, Ashgabat, pp:49.

8.Edited by Ashyralyev,A.,Yurtsever,A.2000. Some Problems of Applied Mathematics,FU,Istanbul, Turkey, pp:220.

9. Ashyralyev,A.,Sobolevskii, P.E. 2004. New Difference Schemes for Partial Differential Equations, Birkhauser Verlag: Basel. Boston. Berlin, Vol.148, pp: 443.

10.Ashyralyev, A.,Cancu,F.2010. Mathematics Olympics-Questions and Answers,Ugur Dershanaları, Istanbul,Turkey, pp: 149.

11.Edited by Ashyralyev A. and Lukashov A., 2012.”First International Conference on Analysis and Applied Mathematics” (ICAAM 2012), AIP Conf. Proc. 1470, pp.270.

12. Ashyralyev, A. 2013. Computational Mathematics, Textbook, The South Kazakhstan State University Named after M. Auezovuku Printing House, Chimkent, pp. 145

13. Edited by Ashyralyev A. and Malkowsky E., 2014.”Second International Conference on Analysis and Applied Mathematics” (ICAAM 2014), AIP Conf. Proc. 1611, pp.430.

14. Editors by Allaberen Ashyralyev , Eberhard Malkowsky , Alexey Lukashov and Feyzi Başar.

“ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences”, Antalya, Turkey. ISBN: 978-0-7354-1323-8. Volume number: 1676, 2015, pp.645.

15.Edited by Ashyralyev A. and Lukashov A., 2016.”Third International Conference on Analysis and Applied Mathematics” (ICAAM 2016), AIP Conf. Proc. 7–10 September 2016, Almaty, Kazakhstan. ISBN: 978-0- 7354-1417-4. Volume number: 1759, 2016, pp. 768.

16. Edited by Ashyralyev A. 2016. “Third International Conference on Analysis and Applied Mathematics (ICAAM 2016)”, The Abstract Book, 317 pages. 07-10 September 2016. Institute of Mathematics and Mathematical Modeling, 050010, Almaty, Kazakhstan

B- Papers (English) (297 Papers)

*1. Ashyralyev, A. 1989. On the uniform difference schemes of a high order of approximation for evolution

equations with a small parameter. Numerical Functional Analysis & Optimization, vol. 10, no 5& 6, 593-406.

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*2. Ashyralyev, A.1990.On the uniform difference schemes of a higher order of the approximation for equations with a small parameter. Applicable Analysis, vol. 36, 211-220.

*3. Ashyralyev, A.,Fattorini H.O. 1992. On uniform difference schemes for second order singular perturbation problems in Banach spaces. SIAM J. Math. Analysis, 23 (1), 29-54.

4. Ashyralyev, A., Micheletzky, G. 1993. The approximation of the solutions of stochastic differential equations in a Hilbert space by the difference schemes. Proceeding of the Scientific-practical Conference Differential Equations and Their Applications, Ashgabat, 85-95 .

*5. Ashyralyev, A., Sobolevskii, P.E.1995. Well-posed solvability of the Cauchy problem for the difference equations of the parabolic type. Nonlinear Analysis: Theory, Methods and Applications, vol. 24, no. 2, 257-264.

*6. Ashyralyev, A. 1995. Well-posed solvability of the boundary value problem for the difference equations of the elliptic type. Nonlinear Analysis:Theory, Methods and Applications, vol. 24, no. 2, 251-256.

7. Ashyralyev, A.,Cimen F.1998. On Rothe`s difference scheme of approximate solution of nonlocal boundary value problem for the stochastic parabolic equation. Proceeding of International Conference Singular Equations and Equations Mixed Types, Fergana, 140-141.

8. Ashyralyev, A.,Akca, H. 1999. On difference shemes for semilinear delay differential equations with constant delay. Proceeding of the Conference TSU "Actual Problems of Applied Mathematics, Physics and Ingineering", Ashgabad, 18-21.

9. Ashyralyev, A.1999. The stability of difference schemes for partial differential equations mixed types.

Proceeding of the Second International Symposium on Mathematical and Computational Applications, Baku, 314-316.

10. Ashyralyev, A., Akca, H.,Guray, U.1999. Second order of accuracy difference scheme for approximate solutions of delay differential equations. Functional Differential Equations, vol. 6, no.3-4, 223-231.

11. Ashyralyev, A. et al. 1999. Model of problem of filtration oil in the lower permeable stratum and its solving by the difference schemes. Ilym-8 Years of Independence of Turkmenistan, Ashgabat, 201-206.

12. Ashyralyev, A.,Orazov, M.B.1999. The theory of operators and the stability of difference schemes for partial differential equations mixed types. Fırat University, Fen - Muh. Bilimleri Dergisi 11(3), 249-252.

13. Ashyralyev, A., Judakova, G.1999. On equations mixed type in Hilbert space. Proceeding of the Conference TSU "Actual Problems of Applied Mathematics, Physics and Ingineering", Ashgabad, 21-24.

14. Ashyralyev, A.,Yurtsever, A.2000. On difference schemes for hyperbolic-parabolic equations, Functional Differential Equations, vol. 7, no.3-4, 189-203.

15. Ashyralyev, A., Akca, H.,Biszewski, L. 2000. On a semilinear evolution nonlocal Cauchy problem.In:Some Problems of Applied Mathematics, Fatih University, Istanbul, 29-44.

16. Ashyralyev, A., Kendirli, B. 2000. Positivity in of one-dimensional difference operators with nonlocal boundary Conditions. In: Some Problems of Applied Mathematics, Fatih University, Istanbul, Turkey, 45-60.

17. Ashyralyev, A., Sobolevskii, P.2000. Theory of positive operators and stability of the difference schemes. In:

Some Problems of Applied Mathematics, Fatih University, Istanbul, Turkey, 61-69.

18. Ashyralyev, A.,Yurtsever, A., Judakova, G. 2000. On hyperbolic-elliptic equations in a Hilbert space. In:

Some Problems of Applied Mathematics, Fatih University, Istanbul,Turkey, 70-79.

19. Ashyralyev, A.,Kendirli, B.2001.Positivity in Holder norms of one-dimensional difference operators with nonlocal boundary conditions. In: “Application of Mathematics in Engineering and Economics-26”, Heron Press 20. Ashyralyev, A.,Yurtsever, A. 2001.On a nonlocal boundary value problem for hyperbolic-parabolic

equations. In: “Application of Mathematics in Engineering and Economics-26”, Heron Press-Technical Univ. of

Sofia,79-85.

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*21. Ashyralyev, A., Akca, H. 2001.Stability properties of difference schemes for neutral delay differential equations. Nonlinear Analysis: Theory, Methods and Applications, vol.44, 443-452.

*22. Ashyralyev, A.,Yurtsever, A. 2001.On a nonlocal boundary value problem for semilinear hyperbolic- parabolic equations. Nonlinear Analysis: Theory, Methods and Applications, vol. 47, 3585-3592

.

23. Ashyralyev, A., Kendirli, B.2001. Well-posedness of the nonlocal boundary value problem for difference elliptic equations. Procceeding of the International Mathematical Conference "Kazakhstan - 2000", Almaty, 14- 19.

*24. Ashyralyev, A., Hanalyev, A., Sobolevskii, P.E. 2001. Coercive solvability of nonlocal boundary value problem for parabolic differential equations. Abstract - Applied Analysis, vol. 6(1), 53-61.

*25. Ashyralyev, A., Sobolevskii, P.E.2001. A note on the difference schemes for hyperbolic equations.

Abstract-Applied Analysis, vol6(2), 63-70.

*26. Ashyralyev, A.,Sobolevskii,P.E. 2001.On the stability of the delay differential and difference equations.Abstract and Applied Analysis, vol. 6(5), 267-297.

27. Ashyralyev, A.,Kendirli, B.2002. Well-posedness of the nonlocal boundary value problem for elliptic equations. Functional Differential Equations, vol 9, no. 1&2, 33-55.

*28. Ashyralyev, A.,Piskarev, S.,Weis, L. 2002. On well-posedness of the difference schemes for abstract parabolic equations in ^L

p

⁽   ⁰ ^, ¹ ^, ^E ⁾ spaces. Numerical Functional Analysis & Optimization, vol. 23, no.7&8, 669-693.

29. Ashyralyev, A. 2002. On the uniform difference schemes of the nonlocal pertibation boundary value problem for differential equations mixed types. Proceeding of the International Conference “Modern Mathematical Problems”, Astana, 63-66.

30. Ashyralyev, A., Judakova, G. 2002. A note on the nonlocal boundary value problem for hyperbolic-elliptic equations in a Hilbert space. Proceeding of the International Conference “Modern Mathematical Problems”, Astana, 66-70.

*31. Ashyralyev, A. 2003. On well-posedness of the nonlocal boundary value problem for elliptic equations.

Numerical Functional Analysis & Optimization, vol. 24, no.1&2, 1-15.

32. Ashyralyev, A., Sobolevskii, P. E. 2003.On the two new approaches of the high order of accuracy difference schemes for the second order differential equations. Functional Differential Equations, vol.10, no.3&4, 333-405.

*33. Ashyralyev, A., Akca, H., Yenicerioglu, F. 2003. Stability properties of difference schemes for neutral differential equations. Differential Equations and Applications (Eds. Cho, et al.) Science Publ., NY,vol.3,57-66.

34. Ashyralyev, A., Karatay, I. 2004. On the second order of accuracy difference schemes of the nonlocal boundary value problem for parabolic equations. Functional Differential Equations, vol.10, no.1 & 2, 45-63.

*35. Ashyralyev, A. 2004. Nonlocal Boundary value problems for partial differential equations: well- posedness.Global Analysis and Applied Mathematics-Book Series: AIP Conference Proceedings, vol. 729, 325- 331.

*36. Ashyralyev, A., Karatay, I., Sobolevskii,P.E. 2004. On well-posedness of the nonlocal boundary value problem for parabolic difference equations. Discrete Dynamics in Nature and Society, vol.2004, no.2, 273-286.

*37. Ashyralyev, A., Yurtsever, A. 2004. A note on the second order of accuracy difference schemes for hyperbolic- parabolic equations in a Hilbert space. Proceedings of Dynamic Systems and Applications, 4, 556- 563.

*38. Ashyralyev, A., Sobolevskii, P. E. 2004. On the two- step the high order of accuracy difference schemes for

the second order differential equations. Proceedings of Dynamic Systems and Applications, 4, 528-535.

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*39. Ashyralyev, A., Aggez, N. 2004. A note on the difference schemes of the nonlocal boundary value problems for hyperbolic equations. Numerical Functional Analysis & Optimization, vol. 25, no. 5&6, 439-462.

40. Ashyralyev, A., Judakova, G., Sobolevskii, P.E. 2005. On difference schemes for hyperbolic-elliptic equations, Dynamic Systems and Applications, Proceedings, 90-112.

41. Ashyralyev, A., Yenial-Altay, N. 2005. Positivity of difference operators generated by the nonlocal boundary conditions. Dynamic Systems and Applications, Proceedings, 113-135.

*42. Ashyralyev, A., Yurtsever, A.2005.On difference schemes for hyperbolic-parabolic equations. Dynamic Systems and Applications, Proceedings,136-153.

*43. Ashyralyev, A., Yurtsever, A. 2005. A note on the second order of accuracy difference schemes for hyperbolic-parabolic equations, Applied Mathematics and Computation, vol. 165, 517-537.

44. Ashyralyev, A., Ozdemir, Y. 2005. A note on the nonlocal boundary value problem for hyperbolic- parabolic equations. Functional Differential Equations, vol.12, no.1-2, 67-81.

*45. Ashyralyev, A., Sobolevskii, P. E. 2005. Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations. Discrete Dynamics in Nature and Society, vol.2005, no.2, 183-213.

*46. Ashyralyev, A., Ozdemir, Y.2005.Stability of difference schemes for hyperbolic-parabolic equations.

Computers and Mathematics with Applications, vol. 50, no.8-9, 1443-1476.

*47. Ashyralyev, A., Koksal, M. E.2005.On the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space. Numerical Functional Analysis & Optimization, vol. 26, no.7-8, 739-772.

48. Ashyralyev, A., Piskarev, S. 2005. On well-posedness of difference schemes for abstract elliptic problems in

  ⁰ ^, ¹ ^, ⁾

( E

L

_p

spaces. SFB 701: Preprints, Uni. of Bielefeld (Germany), pp: 17.

49. Ashyralyev, A., Gezgin, E. 2005. On positivity of fourth order differential operators, Bilimde Modern Yontemler Sempozyumu-BMYS2005, Istanbul Teknik University, Turkey, 536-544.

*50. Ashyralyev, A., Judakova, G., Sobolevskii, P.E. 2006. A note on the difference schemes for hyperbolic- elliptic equations, Abstract and Applied Analysis, vol.2006, 1-13.

*51.Ashyralyev, A., Sobolevskii, P.E.2006. Well-posedness of the difference schemes of the high order of accuracy for elliptic equations. Discrete Dynamics in Nature and Society, vol.2006, 1-12.

*52.Ashyralyev, A.,Altay, N.2006. A note on the nonlocal boundary value problem for elliptic difference equations. Applied Mathematics and Computation, 175, 49-60.

*53. Ashyralyev, A. 2006. Nonlocal boundary value problems for abstract parabolic equations: well-posedness in Bochner spaces. Journal of Evolution Equations, vol.6, no.1, 1-28.

54. Ashyralyev, A., Koksal, E.M.2006. Stability of difference schemes for hyperbolic equations. Proceedings of the Conference ``Differential & Difference Equations and Applications", Florida Institute of Technology, Melbourne, Florida, CMIA Book Series, Hindawi Publishing Corporation,117-130.

55. Ashyralyev, A. 2006. Well-posedness of the nonlocal boundary value problem for elliptic differential and difference equations, Proceedings of the Conference ``Differential & Difference Equations and Applications", Florida Institute of Technology, Melbourne, Florida, CMIA Book Series, Hindawi Publ.Corp.,103-116.

56. Ashyralyev, A.,Yaz, N.2006. On structure of fractional spaces generated by positive operators with the nonlocal boundary conditions. Proceedings of the Conference ``Differential & Difference Equations and Applications", Florida Institute of Technology, Melbourne, Florida, CMIA Book Series, Hindawi Publ. Corp., 91-102.

57. Ashyralyev, A. 2006. Fractional spaces generated by the positive differential and difference operators in a

Banach space. ISMME, Springer, 10-19.

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58.Ashyralyev, A.,Ozdemir, Y. 2006.Numerical solution of a non-classical hyperbolic-parabolic problem.

ISMME, Springer, 116-125.

59.Ashyralyev, A. 2006. A note on the nonlocal boundary value problem for elliptic-parabolic equations.

Nonlinear Studies, vol.13, no. 4, 327-333.

*60.Ashyralyev, A.,Yurtsever, A. 2006. On the stability of the second order of accuracy difference schemes for hyperbolic-parabolic equations. Computers and Mathematics with Applications, vol. 52, no. 3-4, 259-268.

*61.Ashyralyev, A. 2007. Well-posedness of the modified Crank-Nicholson difference schemes in Bochner spaces. DCDS-B, vol.7, no.1, 29-51.

*62.Ashyralyev, A. 2007. Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions. Mathematical Problems in Engineering, vol.2007, Article ID 90815, pp:16.

*63.Ashyralyev, A., Sozen, Y., Sobolevskii, P. E. 2007. A note on the parabolic differential and difference equations. Abstract and Applied Analysis, vol.2007, Article ID 61659, pp: 16.

*64.Ashyralyev, A., Arjmand, D. 2007. A note on the Taylor's decomposition on four points for a third-order differential equation. Applied Mathematics and Computation, 188, no.2, 1483-1490.

*65.Ashyralyev, A., Erdogan, A.S., Arslan, N. 2007. On the numerical solution of the diffusion equation with variable space operator. Applied Mathematics and Computation, 189, no.1, 682-689.

*66.Ashyralyev, A., Ozdemir, Y. 2007. On nonlocal boundary value problems for hyperbolic-parabolic equations.Taiwanese Journal of Mathematics, vol.11, no.3, 1077-1091.

67.Ashyralyev, A., Sirma, A. 2007. A note on the modified Crank-Nicholson difference schemes for

Schrodinger equation, Complex Analysis and Potential Theory. Proceeding of the conference satellite to ICM 2006, Gebze Institute of Technology, Gebze, Kocaeli, Turkey, 256-271.

*68.Ashyralyev, A., Koksal, M.E. 2007. On the stability of the second order of accuracy difference scheme for hyperbolic equations. Discrete Dynamics in Nature and Society, vol.2007, Article ID 57491, pp: 26.

*69.Ashyralyev, A., Sirma, A. 2008. Nonlocal boundary value problems for the Schrodinger equation.

Computers and Mathematics with Applications, vol. 55, no.3, 392-407.

*70.Ashyralyev, A., Cuevas, C., Piskarev, S. 2008.On well-posedness of difference schemes for abstract elliptic problems in ^L

p

⁽   ⁰ ^, ¹ ^, ^E ⁾ spaces, Numerical Functional Analysis & Optimization, vol.29, no.1-2, 43-65.

*71.Ashyralyev, A. 2008. On modified Crank-Nicholson difference schemes for stochastic parabolic equation.

Numerical Functional Analysis & Optimization, vol.29, no. 3-4, 268-282.

*72.Ashyralyev, A. 2008. A note on the Bitsadze-Samarskii type nonlocal boundary value problem in a Banach space. Journal of Mathematical Analysis and Applications, vol. 344, no.1, 557-573.

73.Ashyralyev, A. 2008. Nonlocal boundary-value problems for elliptic differential and difference equations:

well-posedness in Bochner spaces. Proceeding of reports of the International Conference ”Education, Science, Sports and Tourism in the Great Revival Era”, Ashgabat,Turkmenistan, 219-224.

*74.Arslan, N., Erdogan, A.S., Ashyralyev, A. 2008. Computational Fluid Flow Solution over Endothelial Cells inside Capillary Vascular System. International Journal for Numerical Methods in Engineering, 74, 1679-1689.

75.Ashyralyev, A., Ozgur, Y. 2008. A note on the numerical solutions of hyperbolic partial differential equations. Sakarya University, Faculty of Arts and Science. The Jour. of Arts -Science 9(EK), 33-49.

*76.Ashyralyev, A., Koksal, M.E. 2008. A numerical solution of wave equation arising in non-homogeneous

cylindrical shells. Turkish Journal of Mathematics, 32 (4), 407-419.

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*77.Ashyralyev, A., Gercek, O. 2008. Nonlocal boundary value problems for elliptic-parabolic difference equations. Discrete Dynamics in Nature and Society, vol.2008, 1-16.

*78.Ashyralyev, A. 2009. Well-posedness of the difference schemes for elliptic equations in C _ ^{ } ^, ( ) E ^spaces.

Applied Mathematics Letters, vol. 22, Issue 3, 390-395.

79.Ashyralyev, A. 2009. A note on the modified Pade difference schemes, Further progress in analysis. Proc. of the 6th International ISAAC Congress, World Scientific, 645-654.

80.Ashyralyev, A., Erdogan, A.S., Demirci, E. 2009. Numerical solution of a one-dimentional parabolic inverse problem, Further progress in analysis. Proceedings of the 6th International ISAAC Congress, World Scientific, 654-663.

81.Ashyralyev, A., Gercek, O. 2009. Numerical solution of nonlocal boundary value problems for elliptic- parabolic equations, Further progress in analysis. Proceedings of the 6th International ISAAC Congress, World Scientific, 663-670.

82.Ashyralyev, A., Koksal, M.E. 2009. On a difference scheme of second order of accuracy for hyperbolic equations, Further progress in analysis. Proceedings of the 6th International ISAAC Congress, World Scientific, 670-679.

83.Ashyralyev, A., Martinez, M., Pastor, J., Piskarev, S. 2009. Weak maximal regularity for abstract hyperbolic problems in function spaces, Further progress in analysis. Proceedings of the 6th International ISAAC

Congress, World Scientific, 679-689.

84.Ashyralyev, A., Ozdemir, Y. 2009. A note on difference schemes of second order of accuracy for hyperbolic- parabolic equations. Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, 689-698.

85.Ashyralyev, A., Ozturk, E. 2009. Numerical solutions of Bitsadze-Samarskii problem for elliptic equation.

Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, 698-707.

86.Ashyralyev, A., Sozen, Y. 2009. On well-posedness of parabolic differential and difference equations, Further progress in analysis: Proceedings of the 6th International ISAAC Congress, World Scientific, 707-717.

87.Ashyralyev, A. and Sirma A., Multipoint nonlocal boundary value problems for Schrödinger equation, PAMM Proc. Appl. Math. Mech., 71, 2008, 127-128.

88.Ashyralyev, A. 2009. Modified Pade difference schemes for well-posed parabolic problems. Proc. of the Third International Conference on Modeling, Simulation and Applied Optimization, 6 pages.

89.Ashyralyev, A.,Sozen, Y. 2009. A note on the abstract parabolic equation with an arbitrary parameter at the derivative. Proc. of the Third International Conference on Modeling, Simulation-Applied Optimization, pp: 6.

90.Ashyralyev, A., Sirma A., Integral type nonlocal boundary value problems for the Schrödinger equation.

Proc. of the Third International Conference on Modeling, Simulation and Applied Optimization, pp: 6

*91.Ashyralyev, A. 2009. A note on fractional derivatives and fractional powers of operators. Jour. of Mathematical Analysis and Applications, vol. 357,1, 232-236.

*92.Ashyralyev, A. 2009. High-accuracy stable difference schemes for well-posed nonlocal boundary value problems. Operator Theory: Advances and Applications, vol. 191, 229-252.

*93.Ashyralyev, A., Koksal, M.E. 2009. On the numerical solution of hyperbolic PDEs with variable space operators. Numerical Methods for Partial Differential Equations, vol.25, 5, 1086-1099.

*94.Ashyralyev, A., Ozdemir, Y. 2009. On stable implicit difference scheme for hyperbolic-parabolic equations

in a Hilbert space. Numerical Methods for Partial Differential Equations, vol.25, Issue 5, 1100-1118.

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*95.Ashyralyev, A., Sirma, A. 2009. Modified Crank-Nicholson difference schemes for nonlocal boundary value problem for the Schrödinger equation. Discrete Dynamics in Nature and Society, vol.2009, 1-16.

96.Ashyralyev, A., Agarwal, R.P., Shahmurov, R. 2009. Taylor's decomposition at several points for odd order ordinary DEs. Neural, Parallel and Scientific Computations, vol.17, Issue 1, 1-16.

97.Ashyralyev, A., Dural, A., Sozen, Y. 2009. Multipoint nonlocal boundary value problems for reverse parabolic equations: well-posedness. Vestnik of Odessa National Univ.,Mathematics and Mechanics, vol.13,18, 1-12.

98.Ashyralyev, A.,Dural, A.,Sozen,Y. 2009. Well- posedness of the Rothe difference scheme for reverse parabolic equations. Iranian Journal of Optimization, vol.1, 2-3, 1-25.

*99.Ashyralyev, A., Arjmand, D., Koksal, M.2009. Taylor's decomposition on four points for solving third-order linear time-varying systems. Jour. of the Franklin Institute Engineering and Applied Mathematics, vol.346, 651- 662.

*100.Ashyralyev, A., Dal F., Pinar, Z. 2009. On the numerical solution of fractional hyperbolic partial differential equations. Mathematical Problems in Engin., vol.2009, Article ID 730465, 1-11.

*101.Ashyralyev, A., Sirma, A. 2009. A note on the numerical solution of the semilinear Schrödinger equation.Nonlinear Analysis: Theory, Methods & Applications, vol.71,e2507-e2516.

102.Ashyralyev, A., Koksal, M.E. 2009. Stability analysis for a new difference scheme generated by A(t).

Ovidius University Annals Series: Civil Engineering, vol.1, 11, 285-290.

*103.Ashyralyev, A.,Yildirim, O. 2010. On multipoint nonlocal boundary value problems for hyperbolic differential and difference equations. Taiwanese Journal of Mathematics, vol. 14, no.1, 165-194.

*104. Ashyralyev, A., Erdogan, A.S., Arslan, N. 2010. On the modified Crank-Nicholson difference schemes for parabolic equation with non-smooth data arising in biomechanics. International Journal for Numerical Methods in Biomedical Engineering, vol. 26, no. 5, 501-510.

*105.Ashyralyev, A., Koksal, E.M., Agarwal R. 2010. A difference scheme for Cauchy problem for hyperbolic equation with self-adjoint operator. Mathematical and Computer Modelling, vol.52, 409-424.

*106.Ashyralyev, A., Sozen Y.2010. Well-posedness of parabolic differential and difference equations.

Computers and Mathematics with Applications, vol. 60, 792-802.

*107.Ashyralyev, A., Gercek, O. 2010. On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems. Abstract and Applied Analysis, vol. 2010, Article ID 705172,pp:17.

*108.Ashyralyev, A., Misirli, E., Mogol, O. 2010. A note on the integral inequalities with two dependent limits.

Journal of Inequalities and Applications, vol. 2010 (2010), Article ID 430512, pp:18.

*109.Ashyralyev, A., Gercek, O. 2010. Finite difference method for multipoint nonlocal elliptic-parabolic problems. Computers and Mathematics with Applications, vol. 60(7), 2043-2052.

*110.Ashyralyev, A. 2011. On a problem of determining the parameter of a parabolic equation. Ukranian Mathematical Journal, vol. 62, no.9, 1200-1210.

*111.Ashyralyev, A. 2010. Nonlocal boundary-value problems for abstract elliptic equations: well-posedness in Bochner spaces. AIP Conference Proceedings, ICMS International Conference on Mathematical Science, vol.

1309, 66-85.

*112.Ashyralyev, A., Ozdemir, Y. 2010. A note on difference schemes of nonlocal boundary-value problems

for hyperbolic-parabolic equations. AIP Conference Proc., ICMS International Conference on Mathematical

Science, vol. 1309, 725-738.

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*113.Ashyralyev, A., Dal, F., Pinar, Z. 2011. A note on the fractional hyperbolic differential and difference equations. Applied Mathematics and Computation, vol. 217, Issue 9, 4654-4664.

*114. Ashyralyev, A.. 2011. On the well-posedness of the nonlocal boundary value problem for elliptic- parabolic equations, Electronic Journal of Qualitive Theory of Differential Equations, Issue: 49, Pages: 1-16.

*115. Ashyralyev, A., Aggez, N.2011. Finite difference method for hyperbolic equations with the nonlocal integral condition. Discrete Dynamics in Nature and Society, vol. 2011,Article ID 562385, pp: 1-15 .

*116. Ashyralyev, A., Hicdurmaz, B.2011. A note on the fractional Schrödinger differential and difference equations. Kybernetes, vol. 40, Issue 3-10, pp:1-15 .

117.Ashyralyev, A., Aggez, N. 2011. On the numerical solution of multipoint NBVP for hyperbolic equation with integral and Neumann conditions. International Journal of Mathematics and Computation, Volume 10, Number M11 (Special Volume), 107-116.

118.Ashyralyev, A., Ozdemir, Y. 2011. On the second order of accuracy difference schemes generated by r- modified Crank-Nicholson difference schemes. Intern. Journal of Mathematics and Computation, Volume 10, Number M11 (Special Volume), 123-136.

119.Ashyralyev, A., Demirdag, O. 2011. A note on a problem of obtaining the parameter of a parabolic equation.

International Journal of Mathematics and Computation, Volume 11, Number J11 (Special Volume), 10-20.

120. Ashyralyev, A., Dural, A., Sozen, Y. 2011. A note on the second order accuracy difference scheme for reverse parabolic equation. Intern. Jour. of Mathematics and Computation, Vol. 11, Nu. J11 (Special Vol.), 38- 49.

121. Ashyralyev, A., Erdogan, A.S. 2011. On the numerical solution of a parabolic inverse problem with the Dirichlet condition. Intern. Journal of Mathematics and Computation, Volume 11, Number J11 (Special Vol.), 73-81.

122. Ashyralyev, A., Gercek, O. 2011. On numerical solution of multipoint nonlocal elliptic-parabolic equations with Neumann condition. International Journal of Mathematics and Computation, Volume 11, Number J11 (Special Volume), 99-110.

*123. Ashyralyev, A., Ozger, F. 2011. The Hyperbolic-Elliptic Equation with the Nonlocal Condition. Edited by:

Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

*124. Ashyralyev, A., Tashkin, A. 2011. Stable Difference Schemes for the Neutron Transport Equation. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

*125. Ashyralyev, A., Cakir, Z. 2011. Stable Difference Schemes for Fractional Parabolic PDE. Edited by:

Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

*126. Ashyralyev, A., Ozesenli Tetikoglu F. S. 2011. On Numerical Solutions of Nonclassical Problems for Elliptic Equations. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

*127. Ashyralyev, A., Demirdag, O. 2011. On the Numerical Solution of Parabolic Equation with the Neumann Condition Arising in Determination of a Control Parameter. Edited by: Simos, TE. Book Series: AIP

Conference Proceedings Volume: 1389. pp.1-4.

*128. Ashyralyev, A., Kaplan, S., Sozen, Y. 2011. Positivity of Two-Dimensional Elliptic Differential Operators with Nonlocal Conditions. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

*129. Ashyralyev, A., Akat M. 2011. An Approximation of Stochastic Hyperbolic Equations. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

*130. Ashyralyev, A., Gercek, O. 2011. Numerical Solution of NBVP for Elliptic-Parabolic Equations . Edited

by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

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*131. Ashyralyev, A., Ozturk, E. 2011. On the Fourth Order of Accuracy Difference Scheme for the Bitsadze- Samarskii Type Nonlocal Boundary Value Problem. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

*132. Ashyralyev, A., Yıldırım, O. 2011. Second Order of Accuracy Stable Difference Schemes for Hyperbolic Problems Subject to Nonlocal Conditions with Self-Adjoint Operator. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

*133. Ashyralyev, A., Yilmaz, S. 2011. Second Order of Accuracy Difference Schemes for Ultra Parabolic Equations. Edited by: Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

*134. Ashyralyev, A., Agirseven, D. 2011. Finite Difference Method for Delay Parabolic Equations . Edited by:

Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

*135. Ashyralyev, A., San, M.E. 2011. Finite Difference Method for Stochastic Parabolic Equations. Edited by:

Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

*136. Ashyralyev, A., Aggez, N. 2011. Numerical Solution of NBVP for Hyperbolic Equations. Edited by:

Simos, TE. Book Series: AIP Conference Proceedings Volume: 1389. pp.1-4.

*137. Ashyralyev, A. 2011.Well-posedness of the Basset problem in spaces of smooth functions. Applied Mathematics Letters, vol. 24, 7, 1176-1180.

*138. Ashyralyev, A., Koksal, M. E., Agarwal, Ravi P. 2011. An operator-difference scheme for abstract Cauchy problems. Computers and Mathematics with Applications, vol. 61, Issue 7, 1855-1872.

139.Ashyralyev, A. 2011.Uniform difference schemes for parabolic perturbation problems, Vestnik of Odessa National University. Mathematics and Mechanics, vol. 15, Is. 18, 112-128.

140. Ashyralyev, A., Erdogan, A.S. 2011. Well-posedness of the inverse problem of a multidimensional parabolic equation, Vestnik of Odessa National University. Mathematics and Mechanics, vol. 15, Is. 19, 102- 108.

*141. Ashyralyev, A., Yildirim, O. 2011. Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator. Applied Mathematics and Computation,

Volume: 218 Issue: 3 Special Issue: SI Pages: 1124-1131.

*142. Ashyralyev, A., Sözen, Y. 2011. A note on the parabolic equation with an arbitrary parameter at the derivative, Mathematical and Computer Modelling, Volume: 54 Issue: 11-12 Pp: 2565-2572.

143. Ashyralyev, A., Gercek, O. 2011. On multipoint nonlocal elliptic-parabolic difference equation. Vestnik of Odessa National University, Mathematics and Mechanics, vol. 16, pp: 10 .

144. Ashyralyev, A., Demirdag, O. 2011. A note boundary value parabolic problems. Vestnik of Odessa National University, Mathematics and Mechanics, vol. 16, pp:15 .

145. Ashyralyev A. and Hanalyev A. Coercive solvability of parabolic differential equations with dependent operators, TWMS J. App. Eng. Math., vol. 2, no.1, 75-93(2012)

*146. Allaberen Ashyralyev and Fadime Dal, Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition, Discrete Dynamics in Nature and Society, vol. 2012, Article ID 434976, 15 pages, 2012.

*147. Ashyralyev A. Well-Posedness of the Modified Crank-Nicholson Difference Schemes in

, ( ) C _ ^{ } E

spaces, Applied Mathematics & Information Sciences, vol. 6, no.3, 543-554, 2012.

*148. Ashyralyev A. and Yilmaz S. An Approximation of Ultra Parabolic Equations, Abstract and Applied

Analysis, vol. 2012, Article ID 840621, 14 pages, 2012.

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*149. Ashyralyev A. and Gercek O. On the second order of accuracy implicit difference scheme for elliptic- parabolic equations, Abstract and Applied Analysis, vol. 2012, Article ID 230190, 13 pages, 2012

*150. Ashyralyev A. and Amanov D. Initial-Boundary Value Problem for Fractional Partial

Differential Equations of Higher Order, Abstract and Applied Analysis, vol. 2012, Article ID 973102, 16 pages, 2012.

*151. Ashyralyev A. and Sharifov Y.A. Existence and Uniqueness of Solutions of the System of Nonlinear Fractional Differential Equations with Nonlocal and Integral Boundary Conditions, Abstract and Applied Analysis, vol. 2012, Article ID 594802, 14 pages, 2012.

*152. Ashyralyev A. and Hicdurmaz B., On the numerical solution of fractional Schrödinger differential equations with the Dirichlet condition. CMMSE-2011, International Journal of Computer Mathematics, 1-11, 2012.

*153. Ashyralyev A. and Gercek O., On a difference scheme of the second order of accuracy for elliptic- parabolic equations, Boundary Value Problems, vol. 2012, 80, 15 pages, 2012.

*154. Ashyralyev A. and Ozturk E. The Numerical Solution of Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition, Abstract and Applied Analysis, vol. 2012, Article ID 730804, 13 pages, 2012.

*155. Ashyralyev A. and Öztürk E., On a difference scheme of fourth-order of accuracy for the Bitsadze- Samarskii type nonlocal boundary value problem, Mathematical Methods in the Applied Sciences, 18 pages, 2012

156. Allaberen Ashyralyev and Abdullah Said Erdogan, Finite Difference Method for the Estimation of a Heat Source Dependent on Time Variable, Malaysian Journal of Mathematical Sciences 6(S): 139-150 (2012) 157. Allaberen Ashyralyev and Okan Gercek, Well-Posedness of Multipoint Elliptic-Parabolic Differential Problems, Malaysian Journal of Mathematical Sciences 6(S): 123-137 (2012)

158. Allaberen Ashyralyev and Necmettin Aggez, On the Solution of Multipoint NBVP for Hyperbolic Equations with Integral Condition, Malaysian Journal of Mathematical Sciences 6(S): 111-121 (2012)

159. Allaberen Ashyralyev, Ayfer Dural and Yasar Sözen, On Well-Posedness of the Second Order Accuracy Difference Scheme for Reverse Parabolic Equations, Malaysian Journal of Mathematical Sciences 6(S): 91-109 (2012)

160. Allaberen Ashyralyev, Well-Posedness of Parabolic Differential and Difference

Equations with the Fractional Differential Operator, Malaysian Journal of Mathematical Sciences 6(S): 73-89 (2012)

161. Allaberen Ashyralyev and Yildirim Ozdemir, Numerical Solution of a Hyperbolic-Parabolic Problem with Nonlocal Boundary Conditions, Malaysian Journal of Mathematical Sciences 6(S): 31-48 (2012)

*162. Ashyralyev A. and Zafer Çakir, On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition, Discrete Dynamics in Nature and Society, vol. 2012, Article ID 696179, 15 pages, 2012.

*163. Ashyralyev A. and Ozesenli Tetikoglu Fatma S. FDM for Elliptic Equations with Bitsadze-Samarskii- Dirichlet Conditions, Abstract and Applied Analysis, vol. 2012, Article ID 454831, 22 pages, 2012.

*164. Ashyralyev A. and Yıldırım O., A Note On the Second Order of Accuracy Stable Difference Schemes for

the Nonlocal Boundary Value Hyperbolic Problem, Abstract and Applied Analysis, vol. 2012, Article ID

846582, 29 pages, 2012.

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*165. Ashyralyev A. and Öztürk E., On Bitsadze-Samarskii Type Nonlocal Boundary Value Problems for Elliptic Differential and Difference Equations: Well-Posedness, Applied Mathematics and Computation, Vol 219, Issue 3, 1093-1107, 2012.

*166. Ashyralyev A., Erdogan A.S. and Demirdag O., On the determination of the right-hand side in a parabolic equation, Applied Numerical Mathematics,Vol. 62, Issue 11, 1672-1683, 2012.

*167. Ashyralyev A. and Yilmaz S., Modified Crank–Nicholson difference schemes for ultra-parabolic equations, Computers & Mathematics with Applications, Vol. 64, Issue 8, 2756-2764, 2012.

*168. Ashyralyev A. and San M.E., An approximation of semigroups method for stochastic parabolic equations, Abstract and Applied Analysis, vol. 2012, Article ID 684248, 24 pages, 2012.

*169. Ashyralyev A., Sergey Piskarev, Valery Covachev, Ravshan Ashurov, and Hasan Ali Yurtsever, Well- Posed and Ill-Posed Boundary Value Problems for PDE, Abstract and Applied Analysis, vol. 2012, Article ID 492589, 2 pages, 2012.

*170. Ashyralyev A. Preface of the Symposium “Numerical Functional Analysis”, AIP Conf. Proc. 1479, 554 (2012)

*171. Allaberen Ashyralyev and Deniz Ağırseven, Approximate solutions of delay parabolic equations with the Neumann condition, AIP Conf. Proc. 1479, 555-558 (2012)

*172. Allaberen Ashyralyev, Zeynep Ödemiş Özger and Faruk Özger, A first order of accuracy stable difference scheme for hyperbolic-elliptic equations, AIP Conf. Proc. 1479, 582-585 (2012)

*173. Allaberen Ashyralyev and Fatih Sabahattin Tetikoğlu, The positivity of the differential operator with periodic conditions, AIP Conf. Proc. 1479, 586-589 (2012)

*174. Allaberen Ashyralyev and Muzaffer Akat, An approximation of stochastic telegraph equations, AIP Conf.

Proc. 1479, 598-601 (2012)

*175. Allaberen Ashyralyev and Alexey Lukashov, Preface: First International Conference on Analysis and Applied Mathematics (ICAAM 2012), AIP Conf. Proc. 1470, 1 (2012)

*176. Djumaklych Amanov and Allaberen Ashyralyev, Well-posedness of boundary value problems for partial diffferential equations of even order, AIP Conf. Proc. 1470, 3-7 (2012)

*177. Allaberen Ashyralyev and Y. A. Sharifov, Existence and uniqueness of solutions for nonlinear impulsive differential equations with two-point and integral boundary conditions, AIP Conf. Proc. 1470, 8-11 (2012)

*178. Allaberen Ashyralyev and Y. A. Sharifov , Optimal control problem for impulsive systems with integral boundary conditions, AIP Conf. Proc. 1470, 12-15 (2012)

*179. Allaberen Ashyralyev and Betul Hicdurmaz, A note on the numerical solution of fractional Schrödinger differential equations, AIP Conf. Proc. 1470, 92-94 (2012)

*180. Allaberen Ashyralyev and Ozgur Yildirim, High order of accuracy stable difference schemes for

numerical solutions of NBVP for hyperbolic equations, AIP Conf. Proc. 1470, 84-87 (2012)

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*181. Allaberen Ashyralyev and Yildirim Ozdemir, On numerical solution of multipoint NBVP for hyperbolic- parabolic equations with Neumann condition, AIP Conf. Proc. 1470, 80-83 (2012)

*182. Allaberen Ashyralyev, Sema Akturk and Yasar Sozen, Positivity of two-dimensional elliptic differential operators in Hölder spaces, AIP Conf. Proc. 1470, 77-79 (2012)

*183. Allaberen Ashyralyev, Zeynep Ödemiş Özger and Faruk Özger, On stability of hyperbolic-elliptic differential equations with nonlocal integral condition, AIP Conf. Proc. 1470, 73-76 (2012)

*184. Allaberen Ashyralyev, Nazar Emirov and Zafer Cakir, Fractional parabolic differential and difference equations with the Dirichlet-Neumann condition, AIP Conf. Proc. 1470, 69-72 (2012)

*185. Allaberen Ashyralyev and Necmettin Aggez, NBVP for hyperbolic equations involving multi-point and integral conditions, AIP Conf. Proc. 1470, 65-68 (2012)

*186. Allaberen Ashyralyev and Fatma Songul Ozesenli Tetikoglu, A third-order of accuracy difference scheme for the Bitsadze-Samarskii type nonlocal boundary value problem, AIP Conf. Proc. 1470, 61-64 (2012)

*187. Allaberen Ashyralyev and Fatih Sabahattin Tetikoğlu, The structure of fractional spaces generated by the positive operator with periodic conditions, AIP Conf. Proc. 1470, 57-60 (2012)

*188. Allaberen Ashyralyev and Elif Ozturk, On Bitsadze-Samarskii type nonlocal boundary value problems for semi-linear elliptic equations, AIP Conf. Proc. 1470, 114-117 (2012)

*189. Allaberen Ashyralyev, Necmettin Aggez and Fatih Hezenci, Boundary value problem for a third order partial differential equation, AIP Conf. Proc. 1470, 130-132 (2012)

*190. Allaberen Ashyralyev and Serhat Yilmaz, On the numerical solution of ultra-parabolic equations with the Neumann condition, AIP Conf. Proc. 1470, 240-242 (2012)

191. Ashyralyev A. and Prenov R. The hyperbolic system of equations with nonlocal boundary conditions, TWMS J. App. Eng. Math., vol. 2, no.2, 154-178(2012)

192. Allaberen Ashyralyev and Mesut Urun, Determination of a control parameter for the Schrödinger equation, Contemporary Analysis and Applied Mathematics vol.1, no. 2, 156-166, 2013.

*193. Ashyralyev A., Well-posedness of fractional parabolic equations, Boundary Value Problems, 2013:31 doi:10.1186/1687-2770-2013-31, (2013) 1-18

*194. Ashyralyev A. and Yildirim O., On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes, Boundary Value Problems, 2013:29 doi:10.1186/1687-2770-2013-29, (2013) 1-34

*195. Ashyralyev A. and Sharifov Y.A., Optimal control problem for impulsive systems with integral boundary conditions, EJDE,vol. 2013 (2013), no. 80, 1-11.

*196. Ashyralyev A. and Batyrov A., On stability of difference schemes in fractional spaces, Mathematical and

Computer Modelling, vol. 57 (2013) 900–908.

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*197. Ashyralyev A. and Çakir Z., FDM for Fractional Parabolic Equations with the Neumann Condition, Advances in Difference Equations 2013, 2013:120 doi:10.1186/1687-1847-2013.

*198. Ashyralyev A. and Akat M., An approximation of stochastic hyperbolic equations: case with Wiener process, Mathematical Methods in the Applied Sciences, Article first published online: 9 JAN 2013, DOI: 10.1002/mma.2666, 13 pages, 2013

*199. Ashyralyev A. and Ozesenli Tetikoglu F.S., A third-order of accuracy difference scheme for the Bitsadze- Samarskii type nonlocal boundary value problem, Numerical Functional Analysis and Optimization, 34(9):939–

975, 2013

*200. Ashyralyev A. and Sharifov Y.A., Existence and uniqueness of solutions for nonlinear impulsive differential equations with two-point and integral boundary conditions, Advances in Difference Equations 2013, 2013:173 doi:10.1186/1687-1847-2013-173, 10 pages.

*201. Allaberen Ashyralyev and Ozgur Yildirim, On stability of a third order of accuracy difference scheme for nonlocal BVPs with self-adjoint operator, Abstract and Applied Analysis, vol. 2013, Article ID 959216, 18 pages, 2013.

*202. Ashyralyev A. and Agirseven D. On Convergence of Difference Schemes for Delay Parabolic Equations, Computers & Mathematics with Applications, vol. 66, Issue 7, pp. 1232-1244, 2013.

*203. Allaberen Ashyralyev and Mesut Urun, Determination of a control parameter for the difference Schrödinger equation, Abstract and Applied Analysis, vol. 2013, Article ID 548201, 14 pages, 2013.

*204. Ashyralyev A., Sergey Piskarev, Valery Covachev, Ravshan Ashurov, and Hasan Ali Yurtsever, Abdullah Said Erdogan. Well-Posed and Ill-Posed Boundary Value Problems for PDE-2013, Abstract and Applied Analysis, vol. 2013, Article ID 468274, 2 pages, 2013.

*205. Ashyralyev A. and Yildirim O. High order accurate difference schemes for hyperbolic IBVP. Lecture Notes in Computer Science 8236, pp. 174-181 (2013).

*206. Ashyralyev A. and Yilmaz S. Modified Crank-Nicholson difference schemes for ultra parabolic equations with Neumann condition. Lecture Notes in Computer Science 8236, pp. 182-189 (2013)

*207. Ashyralyev A. and Erdogan A.S. Stability of implicit difference scheme for solving the identification problem of a parabolic equation.Lecture Notes in Computer Science 8236, pp. 271- 278(2013).

*208. Ashyralyev A. and Ozturk E., On a difference scheme of fourth order of accuracy for the

BitsadzeSamarskii type nonlocal boundary value problem, Mathematical Methods in the Applied Sciences, Volume: 36 Issue: 8 Pages: 936-955 Published: MAY 30 2013.

*209. Ashyralyev A. and Agirseven D., Note on the Stability of Delay Parabolic Equations with Unbounded

Operators Acting on Delay Terms, Electronic Journal of Differential Equations, Vol. 2014 (2014), pp. 1-15.

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*210. Ashyralyev A. and Ashyralyyev Ch., On the problem of determining the parameter of an elliptic equation in a Banach space, Nonlinear Analysis: Modelling and Control, vol. 19(2014), no. 3, 350-366.

*211. Ashyralyev A. and and Özger F., The hyperbolic-elliptic equations with the nonlocal condition, Mathematical Methods in the Applied Sciences, Vol. 37, issue 4, 524-545, 2014.

*212. Ashyralyev A. and Erdogan A.S. On the second order implicit difference schemes for a right hand side identification problem. Appl. Math. Comput. 226, pp. 212–228, 2014.

*213. Ashyralyev A. and Hanalyev A. Well-Posedness of Nonlocal Parabolic Differential

Problems with Dependent Operators, The Scientific World Journal Volume 2014, Article ID 519814, 11 pages http://dx.doi.org/10.1155/2014/519814, 2014.

*214. Allaberen Ashyralyev, Sema Akturk and Yasar Sozen. The structure of fractional spaces generated by a two-dimensional elliptic differential operator and its applications, Boundary Value Problems 2014, 2014:3.

*215. Ashyralyev A. and Öztürk E., On a difference scheme of second order of accuracy for the Bitsadze- Samarskii type nonlocal boundary-value problem, Boundary Value Problems 2014, 2014:14 doi:10.1186/1687- 2770-2014-14

*216. Ashyralyev A. and Prenov R. Finite-difference method for the hyperbolic system of equations with nonlocal boundary conditions, Advances in Difference Equations, 2014, 2014:26 doi:10.1186/1687-1847- 2014-26, 26 pages.

*217. Ashyralyev A. and Agirseven D. Well-Posedness of Delay Parabolic Difference Equations, Advances in Difference Equations, 2014, 2014:18 doi:10.1186/1687-1847-2014-18, 20 pages.

*218. Ashyralyev A. and Ozdemir Y., On numerical solutions for hyperbolic–parabolic equations with the multipoint nonlocal boundary condition, Journal of the Franklin Institute, Volume 351, Issue 2, 602-630, 2014.

*219. Ashyralyev A., Nalbant N. and Sozen Y. Structure of fractional spaces generated by second order difference operators, Journal of the Franklin Institute, Volume 351, Issue 2, 713-731, 2014.

*220. Ashyralyev A. and Çakir Z., r-Modified Crank-Nicholson difference scheme for fractional parabolic PDE, Boundary Value Problems 2014, 2014:76 doi:10.1186/1687-2770-2014-76. 12 pages.

*221. Ashyralyev A., Emirov N. and Cakir Z., Well-posedness of fractional parabolic differential and difference equations with Dirichlet-Neumann conditions, Electronic Journal of Differential Equations, Vol. 2014 (2014), no. 97, pp. 1-17.

*222. Amanov Dj. and Ashyralyev A., Well-posedness of boundary-value problems for partial differential equations of even order, Electronic Journal of Differential Equations, Vol. 2014 (2014), no. 108, pp. 1-18.

*223. Ashyralyev A. and Erdogan A.S., Well-posedness of the problem of right hand side identification for a parabolic equation, UMJ, vol. 66(2014), no.2, 147-158.

*224. Ashyralyev A. and Agirseven D., Well-posedness of delay parabolic equations with unbounded operators acting on delay terms, Boundary Value Problems 2014, 2014:126 doi:10.1186/1687-2770-2014-126.

15 pages.

*225. Ashyralyev A. and Agirseven D., On source identification problem for a delay parabolic equation,

Nonlinear Analysis: Modelling and Control, Vol. 19, No. 3, 2014, 16 pages.

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*226. Ashyralyev A. and Aggez N., On the solution of NBVP for multidimensional hyperbolic equations, The Scientific World Journal Volume 2014, Article ID 841602, 22 pages, http://dx.doi.org/10.1155/2014/841602, 2014.

*227. Ashyralyev A. and Urun M., A second order of accuracy difference scheme for Schrödinger equations with an unknown parameter, Filomat 28:5 (2014), 981–993 DOI 10.2298/FIL1405981A.

*228. Ashyralyev A. and Ozturk E., Stability of Difference Schemes for Bitsadze-Samarskii Type Nonlocal Boundary Value Problem Involving Integral Condition, Filomat 28:5 (2014) 1027-1047

DOI: 10.2298/FIL1405027A.

*229. Ashyralyev A. and Agirseven D., Stability of Delay Parabolic Difference Equations, Filomat 28:5 (2014), 995-1006 DOI: 10.2298/FIL1405995A.

*230. Ashyralyev A. and Ozesenli Tetikoglu F.S., On well-posedness of nonclassical problems for elliptic equations, Mathematical Methods in the Applied Sciences, Vol. 37, issue 4, 524-545, 2014.

DOI: 10.1002/mma.3006

*231. Ashyralyev A., Gercek O., and Zusi E., Well-posedness of difference scheme for elliptic-parabolic equations in Hölder spaces without a weight, AIP Conf. Proc. 1611, pp. 84-88 (2014).

*232. Ashyralyev A., and Shahmurov R., High-accurate difference schemes for the differential equation of 2n- th order, AIP Conf. Proc. 1611, pp. 141-144 (2014).

*233. Ashyralyev A., and Sazaklioglu A.U., A note on the stability of a time-dependent source identification problem, AIP Conf. Proc. 1611, pp. 186-189 (2014).

*234. Ashyralyev A., and Akturk S., Fractional spaces generated by the positive differential operator in the half- line R+ and their applications, AIP Conf. Proc. 1611, pp. 211-215 (2014).

*235. Ashyralyev A., and Simsek Ş.N., Nonlocal boundary value problems for a third order partial differential equation, AIP Conf. Proc. 1611, pp. 234-240 (2014).

*236. Ashyralyev A., Artykov M., and Çakir Z., A note on fractional parabolic differential and difference equations, AIP Conf. Proc. 1611, pp. 251-254 (2014).

*237. Ashyralyev A., and Ozesenli Tetikoglu F.S., Well-posedness of a third order of accuracy difference scheme for Bitsadze-Samarskii type multi-point NBVPs, AIP Conf. Proc. 1611, pp. 271-275 (2014).

*238. Ashyralyev A., and Modanli M., A numerical solution for a telegraph equation, AIP Conf. Proc. 1611, pp. 300-304 (2014).

*239. Ashyralyev A., and Tetikoglu F., The positivity of the second order difference operator with periodic conditions in Hölder spaces and its applications, AIP Conf. Proc. 1611, pp. 336-343 (2014).

*240. Ashyralyev A., Tekalan S.N., and Erdogan A.S., On a first order partial differential equation with the nonlocal boundary condition, AIP Conf. Proc. 1611, pp. 369-373 (2014).

241. Guezane-Lakoud A., and Ashyralyev A., Fixed point theorem applied to a fractional boundary value problem, Pure and Applied Mathematics Letters 2, pp. 1-6(2014).

242. Ashyralyev A., Shahmurov R., High-accuracy difference schemes for the differential equation of 2n-th order, Contemporary Analysis and Applied Mathematics, vol.2, no.2, pp. 290-304 (2014).

*243. Ashyralyev A., and Modanli M., An operator method for telegraph partial differential and difference equations, Boundary Value Problems 2015, 2015:41 DOI: 10.1186/s13661-015-0302-z

*244. Ashyralyev A., and Sarsenbi, A. Well-posedness of a parabolic equation with nonlocal boundary conditio,

Boundary Value Problems 2015, 2015: 38 DOI: 10.1186/s13661-015-0297-5

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*245. Ashyralyev A., and Tetikoglu F., A note on fractional spaces generated by the positive operator with periodic conditions and applications, Boundary Value Problems 2015, 2015:31 DOI: 10.1186/s13661-015-0293- 9

246. Ashyralyev A., and Ashyralyyeva M.A., On source identification problem for a hyperbolic-parabolic equation, Contemporary Analysis and Applied Mathematics Vol.3, No.1, 88-103, 2015

*247. Ashyralyev A., Well-Posedness in Hölder Spaces of Elliptic Differential and Difference Equations, Finite Difference Methods, Theory and Applications Book Series: Lecture Notes in Computer

Science Volume: 9045 Pages: 25-37, 2015.

*248. Ashyralyev A., and Agirseven D., Difference Schemes for Delay Parabolic Equations with Periodic Boundary Conditions, Finite Difference Methods, Theory and Applications Book Series: Lecture Notes in Computer Science Volume: 9045 Pages: 145-152, 2015.

*249. Ashyralyev A., and Akturk S., Positivity of one-dimensional difference operator in the half-line and its applications, Applied and Computational Mathematics, vol. 14, no.2, 204-220, 2015.

*250. Ashyralyev A., Pastor J., Piskarev S., and Yurtsever H.A., Second order equations in functional spaces:

qualitative and discrete well-posedness, Abstract and Applied Analysis, vol. 2015, Article ID 948321, 63 pages, doi.org/10.1155/2015/948321

251. Assia Guezane-Lakoud, Allaberen Ashyralyev, Positive Solutions for a System of Fractional Differential Equations with Nonlocal Integral Boundary Conditions, Differential Equations and Dynamical Systems, 8 pages, DOI 10.1007/s12591-015-0255-9

*252. Ashyralyev A., Taskin A., Structures of the fractional spaces generated by the difference neutron transport operator, AIP Conf. Proc. 1676, 020051 (2015); http://dx.doi.org/10.1063/1.4930477.

*253. Ashyralyev A., Modanli M., Nonlocal boundary value problem for telegraph equations, AIP Conf. Proc. 1676, 020078 (2015); http://dx.doi.org/10.1063/1.4930504.

*254. Ashyralyev A., Okur U., Numerical solution of the stochastic parabolic equation with the dependent operator coefficient, AIP Conf. Proc. 1676, 020004 (2015); http://dx.doi.org/10.1063/1.4930430.

*255. Ashyralyev A., Akturk S., The structure of fractional spaces and its applications, AIP Conf. Proc. 1676, 020047 (2015); http://dx.doi.org/10.1063/1.4930473.

*256. Ashyralyev A., Nalbant N., Positivity of a differential operator with nonlocal conditions, AIP Conf.

Proc. 1676, 020066 (2015); http://dx.doi.org/10.1063/1.4930492.

*257. Ashyralyev A., Tetikoglu F.S., Pointwise estimates of the Green’s function of a second order differential operator with the variable coefficient,AIP Conf. Proc. 1676,

020100 (2015); http://dx.doi.org/10.1063/1.4930526.

*258. Ashyralyev A., A survey of results in the theory of fractional spaces generated by positive operators, TWMS JPAM, vol. 6, no.2, 129-157, 2015.

*259. Ashyralyev A., and Sarsenbi A., Well-posedness of an elliptic equation with involution, Electronic

Journal of Differential Equations, Vol. 2015 (2015), No. 284, pp. 1–8. http://ejde.math.txstate.edu or

http://ejde.math.unt.edu ftp ejde.math.txstate.edu

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*260. Ashyralyev A., Akturk S., The structure of fractional spaces generated by multi-dimensional elliptic difference operator, Advances in Difference Equations, vol.2015,384, 2015 doi:10.1186/s13662-015-0719-9

*261. A Ashyralyev, B Karabaeva, AM Sarsenbi, Stable difference scheme for the solution of an elliptic equation with involution, AIP Conf. Proc. 1759,020111 (2016); http://dx.doi.org/10.1063/1.4959725.

*262. A Ashyralyev, D Agirseven, K Turk, On the stability of the telegraph equation with time delay,AIP Conf.

Proc. 1759, 020022 (2016); http://dx.doi.org/10.1063/1.4959636.

*263. Kheireddine Belakroum, Allaberen Ashyralyev and Assia Guezane-Lakoud, A note on the nonlocal boundary value problem for a third order partial differential equation, AIP Conf.

Proc. 1759, 020021 (2016); http://dx.doi.org/10.1063/1.4959635.

*264. A Ashyralyev, Fatma Songul Ozesenli Tetikoglu and Tulay Kahraman, Source identification problem for an elliptic-hyperbolic equation, AIP Conf. Proc. 1759, 020036 (2016); http://dx.doi.org/10.1063/1.4959650.

*265. A Ashyralyev, and Bahriye Karaca, A note on the Dirichlet problem for model complex partial differential equations,: AIP Conf. Proc. 1759, 020098 (2016); http://dx.doi.org/10.1063/1.4959712.

*266. A Ashyralyev, and Yusuf Ya’u Gambo, r–modified Crank-Nicholson difference schemes for one dimensional nonlinear viscous Burgers’ equation for an incompressible flow, AIP Conf.

Proc. 1759, 020100 (2016); http://dx.doi.org/10.1063/1.4959714.

*267. A Ashyralyev, and Fatih Sabahattin Tetikoglu, The positivity of the difference operator with periodic conditions and its application, AIP Conf. Proc. 1759, 020047 (2016);

http://dx.doi.org/10.1063/1.4959661.

*268. A Ashyralyev, and Abdisalam A. Sarsenbi, Green’s function of the second order differential operator with involution, AIP Conf. Proc. 1759, 020002 (2016); http://dx.doi.org/10.1063/1.4959616.

*269. A Ashyralyev, and Zafer Cakir, S tability estimates for solution of IBVP to fractional parabolic differential and difference equations, AIP Conf. Proc. 1759, 020087 (2016);

http://dx.doi.org/10.1063/1.4959701.

*270. Ali Ugur Sazaklioglu, Abdullah Said Erdogan, and A Ashyralyev, On the unique solvability of an inverse problem for a semilinear equation with final overdetermination, AIP Conf.

Proc. 1759, 020035 (2016); http://dx.doi.org/10.1063/1.4959649.

*271. A Ashyralyev, and Abdulgafur Taskin, Structure of fractional spaces generated by the two dimensional neutron transport operator, AIP Conf. Proc. 1759, 020066 (2016); http://dx.doi.org/10.1063/1.4959680.

*272. A Ashyralyev, and Mesut Urun, Determination of a control parameter of the r-modified Crank-Nicholson difference scheme for the Schrödinger equation, AIP Conf. Proc. 1759, 020086 (2016);

http://dx.doi.org/10.1063/1.4959700

*273. A Ashyralyev, and Ulker Okur, Crank-Nicholson difference scheme for a stochastic parabolic equation with a dependent operator coefficient, AIP Conf. Proc. 1759, 020103 (2016);

http://dx.doi.org/10.1063/1.4959717.

*274. A Ashyralyev, Kadriye Tuba Turkcan and Mehmet Emir Koksal, Numerical solutions of telegraph equations with the Dirichlet boundary condition, AIP Conf. Proc. 1759, 020055 (2016);

http://dx.doi.org/10.1063/1.4959669.

*275. A. Ashyralyev, N. Nalbant, Positivity of a differential operator with nonlocal conditions, FILOMAT, Vol. 30, Iss. 3(2016), pp. 885-904, DOI: 10.2298/FIL1603885A.

*276. A. Ashyralyev, S Akturk, A Note on Positivity of One-Dimensional Elliptic Differential Operators,