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
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).
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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
C O M M U N I C A T I O N S
©Ankara University Press, Ankara 2018