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C O M M U N I C A T I O N S

FACULTY OF SCIENCES

UNIVERSITY OF ANKARA

DE LA FACULTE DES SCIENCES

DE L’UNIVERSITE D’ANKARA

Series A1:

Mathematics and Statistics

VOLUME: 67

Number: 1

YEAR: 2018

Abstracted/Indexed in

Web of Science (ESCI), Mathematical Reviews (MathSciNet),

Zentralblatt MATH (ZbMATH),

TUBITAK-Ulakbim

Faculty of Sciences, Ankara University

06100 Beşevler, Ankara-Turkey

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C O M M U N I C A T I O N S

FACULTY OF SCIENCES

UNIVERSITY OF ANKARA

DE LA FACULTE DES SCIENCES

DE L’UNIVERSITE D’ANKARA

Series A1:

Mathematics and Statistics

Volume 67

Number : 1

Year :2018

Owner

Selim Osman SELAM, Dean of Faculty of Sciences

Editor in Chief

Nuri ÖZALP

Managing Editor

Erdal GÜNER

Area Editors

Sait HALICIOĞLU (Group Theory) Elif DEMİRCİ (Applied Mathematics) Gülen TUNCA (Analysis-Operator Theory) Murat OLGUN (Functional Analysis)

Yusuf YAYLI (Geometry) Mehmet UNVER (Analysis)

Yılmaz AKDİ (Statistics) İshak ALTUN (Topology)

Burcu Ungor (Rings and Modules Theory) Oktay DUMAN (Summability and Approx. Theory) Murat ŞAHİN (Number Theory)

Editors

M. AKHMET METU TURKEY O. ARSLAN Ankara University, TURKEY A. AYTUNA Sabancı University, TURKEY Elgiz BAIRAMOV Ankara University, TURKEY H. BEREKETOĞLU Ankara University, TURKEY H. BOZDOĞAN Uni. of Tennessee, USA C.Y. CHAN University of Louisiana, USA A. B. EKİN Ankara University, TURKEY D. GEORGIOU Uni.of Patras, GREECE V. GREGORI Univ. Politècnica de València, SPAIN V.S. GULIYEV Nat. Acad. of Sci, AZERBAIJAN I GYORI Veszprem University, HUNGARY A. HARMANCI Hacettep e University, TURKEY F.HATHOUT Université de Saïda, ALGERIA K. ILARSLAN Kırıkkkale Uni., TURKEY A. KABASINSKAS Kaunas U.of Tech., LITHUANIA V. KALANTAROV Koç University, TURKEY F. KARAKOC Ankara University, TURKEY S. KOKSAL Florida Inst. of Tech., USA A. M. KRALL The Penn. State University, USA H.P. KUNZI Uni. of CT, SOUTH AFRICA H.T. LIU Tatung University, TAIWAN Vishnu Narayan MISHRA S. V.NIT., INDIA C. ORHAN Ankara University, TURKEY S. ROMAGUERA Uni. Pol. de València, SPAIN H. M. SRIVASTAVA, Univ. of Victoria, CANADA I.P. STAVROULAKIS Uni. of Ioannina, GREECE C. TEZER METU, TURKEY A.D. TÜRKOĞLU Gazi University, TURKEY S. YARDIMCI Ankara University, TURKEY

This Journal is published two issues in a year by the Faculty of Sciences, University of Ankara. Articles and any other

material published in this journal represent the opinions of the author(s) and should not be construed to reflect the

opinions of the Editor(s) and the Publisher(s).

Correspondence Address:

COMMUNICATIONS EDITORIAL OFFICE

Ankara University, Faculty of Sciences, 06100 Tandoğan, ANKARA – TURKEY

Tel: (90) 312-212 67 20 Fax: (90) 312-223 23 95

e-mail: commun@science.ankara.edu.tr

http://communications.science.ankara.edu.tr/index.php?series=A1

Print:

Ankara University Press

İncitaş Sokak No:10 06510 Beşevler ANKARA – TURKEY

Tel: (90) 312-213 65 65

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C O M M U N I C A T I O N S

©Ankara University Press, Ankara 2018

FACULTY OF SCIENCES

UNIVERSITY OF ANKARA

DE LA FACULTE DES SCIENCES

DE L’UNIVERSITE D’ANKARA

Series A1:

Mathematics and Statistics

Volume 67

Number : 1

Year :2018

NEZIR, V.; SADE, S., Abundance of equivalent norms on 𝑐0 with fixed point property for affine nonexpansive mappings ….. 1

ALTINKAYA, Ş; YALÇIN, S., On some subclasses of M-fold symmetric bi-univalent functions ……….. 29

GÜMÜŞ, H., New approach to the concept of 𝐴ℐ𝐴-statistical convergence with the number of alpha ……… 37

DEĞER, U., On approximation by Nörlund and Riesz submethods in variable exponent Lebesgue spaces ………. 46

BAYRAK, M.A., Application of the (𝐺′/𝐺)-expansion method for some space-time fractional partial differential equations .. 60

KORKMAZ, A., On the wave solutions of conformable fractional evolution equations ………... 68

AKYOL, M.A.; GÜNDÜZALP, Y., Semi-invariant semi-Riemannian submersions ……….. 80

SILVA, C.J.; TORRES, D.F. M., Global stability for a HIV/AIDS model ……… 93

CHEN, H.; HARMANCI, A., Strongly *-clean properties and rings of functions ………. 102

ACAR, T.; MURSALEEN, M.; MOHIUDDINE, S. A., Stancu type (p, q)-Szász-Mirakyan-Baskakov operators ………. 116

AZEROUAL, B.; ZERTITI, A., Localized radial solution to a superlinear Dirichlet problem in annular domain ……….. 129

AL-OMARI, A.; NOIRI, T., A note on topologies generated by m-structures and ꙍ-topologies ……… 141

KAZAN, A.; KARADAĞ, H.B., Magnetic non-null curves according to parallel transport frame in Minkowski 3-space ……. 147

KARATAŞ, A.; HALICI, S., Vector matrix representation of octonions and their geometry ……….. 161

BOUDJEHEM, D.; BOUDJEHEM, B.; MECHERI, B., Diffusive representation of a fractional control using adaptive partitioning algorithm ………... 168

RACHAH, A.; TORRES, D. F. M., Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects ……….. 179

IMZEGOUAN, C., Stochastic stability in terms of an associated transfer function matrix for some hybrid systems with Markovian switching ………. 198

BİŞGİN, M.C., The binomial almost convergent and null sequence spaces ………. 211

İLKHAN, M.; AKYİĞİT, M.; KARA, E.E., On new types of sets via γ-open sets in bitopological spaces ………. 225

IŞIK, M., Some properties of sequence space 𝐵𝑉̂𝜃(𝑓, 𝑝, 𝑞, 𝑠) …..……….. 235

ERKURŞUN ÖZCAN, N., Stability and lower-bound functions of 𝑐0-Markov semigroups on KB-spaces ……… 242

GEVGEŞOĞLU, M.; BOLAT, Y., Stability criterion for difference equations involving generalized difference operator …… 248

UYSAL, G., Nonlinear m-singular integral operators in the framework of Fatou type weighted convergence ……… 262

FATIHA, B.; ZOHRA, B., Zero-based invariant subspaces in the Bergman space ………. 277

MEYVACI, M., Energy decay rate of the solutions of a marine riser equation with a variable coefficient ………. 286

TİRYAKİ, İ. U., Hyperspaces of ditopological texture spaces and hypertextures ……… 293

GÜLKAÇ, V.; BAĞLAN, İ., Analysis of two dimensional parabolic equation with periodic boundary conditions ……… 310

SOYDAN, G., A note on the Diophantine equations 𝑥2± 5𝛼∙ 𝑝𝑛= 𝑦𝑛 ………. 317

YILDIZ, A. F.; OKUYUCU, O. Z.; YILDIZ, Ö. G.,Inextensible flow of a semi-real quaternionic curve in semi-Euclidean space ℝ24 ……… 323

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C O M M U N I C A T I O N S

©Ankara University Press, Ankara 2018

FACULTY OF SCIENCES

UNIVERSITY OF ANKARA

DE LA FACULTE DES SCIENCES

DE L’UNIVERSITE D’ANKARA

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