logo
DEPARTMENT OF MATHEMATICS
Homepage / Research Groups and Publications
Research Groups and Publications

Publications – Papers (in alphabetical order)

2023

  • C. THOMAS, B. ALVEROĞLU, S. O. STEPHEN., M. A. S. AL-MALKI, Z. HUSSAIN, "Effect of slip on the linear stability of the rotating disk boundary layer", Physics of Fluids, Vol 35, Issue 8, 2023.
  • B. ARSLAN, R. J. CARDOSO,  "Structured Condition Number for a Certain Class of Functions of Non-commuting Matrices", Results in Mathematics, 78:248, 2023. 
  • A. BORAT, M. PAMUK, T. VERGİLİ, "Contiguity distance between simplicial maps", Turkish Journal of Mathematics, Vol 47, Issue 2, 664-677, 2023.
  • N. EKİZ YAZICI, E. ÖZGÜR, N. MLAIKI, A. MUKHEIMER, "Controlled S-metric-type spaces and applications to fractional integrals", Symmetry, 15 (5), 1100, 2023.
  • İ. KÜPELİ ERKEN, M. ÖZKAN, B. SAVUR, "Cotton Solitons on Three Dimensional Almost \alpha-paracosymplectic Manifolds", International Electronic Journal of Geometry, Vol 16, Issue 2, 451-463, 2023.
  • M. ÖZKAN, İ. KÜPELİ ERKEN, M. CENGİZHAN, "Cotton solitons on three dimensional paracontact metric manifolds", FILOMAT, 37:15, 5109-5121, 2023.
  • İ. KÜPELİ ERKEN, M. CENGİZHAN, S. ALIYA NAAZ, "Inequalities on Riemannian Warped Product Submersions for Vertical Casorati Curvatures", Mediterranean Journal of Mathematics, 20:98, 2023.
  • M. S. ÖZ, "Computing the number of matchings in catacondensed benzenoid systems", Match Communications in Mathematical and in Computer Chemistry, 89, 223-243, 2023.
  • M. S. ÖZ, I. N. CANGÜL, "A Survey of the Maximal and the Minimal Nullity in terms of Omega Invariant on Graphs", Acta Universitatis Sapientiae, Mathematica, Vol 15, No 2, 337–353, 2023.
  • İ. KARACA, M. ÖZKAN, "Homotopy extension property for multi-valued functions", Mathematica Moravica, Vol 27, No 1, 1-12, 2023.
  • H. ŞAHİN, "A new approach to homotopy theory via best proximity point", Miskolc Mathematical Notes, Vol 24, No 1, 411-428, 2023.
  • M. ASLANTAŞ, H. ŞAHİN, R. J. SABIR AL-OKBI, "Some best proximity point results on best orbitally complete quasi metric spaces", AIMS Mathematics, Vol 8, Issue 4, 7967-7980, 2023.
  • H. ŞAHİN, M. ASLANTAŞ, A. A. N. NASIR "Some Extended Results for Multivalued F-Contraction Mappings", Axioms, Vol 12, No 2, 116, 2023.

2022 

  • B. ARSLAN ALVEROĞLU and A. HAL-MOHY, "Generalized Complex Step Approximation to Estimate the First and Second Order Frechet Derivative of Matrix Functions", FILOMAT, vol. 36, no. 16, pp. 5603–5614, Jan. 2022.
  • E. AŞICI, “On the construction of t-norms t-conorms by using interior closure operator on bounded lattices,” KYBERNETIKA, vol. 3, pp. 456–478, Dec. 2022.
  • E. AŞICI and R. MESIAR, “On the direct product of uninorms on bounded lattices,” KYBERNETIKA, vol. 57, no. 6, pp. 1–16, Jan. 2022.
  • E. AŞICI and R. MESIAR, “Some construction approaches for t-norms and t-conorms on bounded lattices,” Aequationes Mathematicae, pp. 0–0, Jan. 2022.
  • E. AŞICI, “On Generating t-Norms  t-Conorms  on Some Special Classes of Bounded Lattices,” INTERNATIONAL JOURNAL OF FUZZY LOGIC AND INTELLIGENT SYSTEMS, vol. 22, pp. 48–58, Jan. 2022.
  • E. AŞICI, “Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 19, pp. 125–140, Jan. 2022.
  • E. AŞICI, “Some further results about t-norms and t-conorms on some special classes of bounded lattices,” INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, pp. 0–0, Jan. 2022.
  • E. AŞICI and R. MESIAR, “On generating uninorms on some special classes of bounded lattices,” FUZZY SETS AND SYSTEMS, vol. 439, no. 1, pp. 102–125, Jan. 2022.
  • T. VERGİLİ and A. BORAT, "Topological spaces induced by homotopic distance", Journal of Linear and Topological Algebra, vol 11, no 2, 85-91, 2022.
  • G. DİLAVER TUNÇ and S. ALTINOK BHUPAL, “Minimum Generating Set for Complete Graphs,” TWMS Journal of Applied and Engineering Mathematics, pp. 0–0, Jan. 2022.
  • K. KARACA, A. GEZER, and A. MAĞDEN, “Notes on the second-order tangent bundles with the deformed Sasaki metric,” Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 71, no. 2, pp. 502–517, Jun. 2022.
  • N. ORHAN ERTAŞ and R. TRIBAK, "Some variations of projectivity", Journal of Algebra and its Applications, vol. 21, no. 12, Jan. 2022.
  • M. S. ÖZ and İ. N. CANGÜL, “Enumeration of independent sets in benzenoid chains,” Match Communications in Mathematical and in Computer Chemistry, vol. 88, no. 1, pp. 93–107, Jan. 2022.
  • M. S. ÖZ and İ. N. CANGÜL, “Computing the number of k-matchings in benzenoid chains,” Match Communications in Mathematical and in Computer Chemistry, vol. 88, no. 1, pp. 79–92, Jan. 2022.
  • M. S. ÖZ and İ. N. CANGÜL, “Computing the Merrifield-Simmons indices of benzenoid chains and double benzenoid chains,” Journal of Applied Mathematics and Computing, vol. 68, no. 5, pp. 3263–3293, Oct. 2022.
  • M. S. ÖZ, R. Cruz, and J. Rada, “Computation method of the Hosoya index of primitive coronoid systems,” Mathematical Biosciences and Engineering, vol. 19, no. 10, pp. 9842–9852, Jul. 2022.
  • M. S. ÖZ, “Coefficients of Randic and Sombor characterıstıc polynomials of some graph types,” Communications Faculty of Sciences University of Ankara-Serıes A1 Mathematics and Statistics, vol. 71, no. 3, pp. 778–790, Jan. 2022.
  • M. S. ÖZ and İ. N. CANGÜL, “A new method for the sum-edge characteristic polynomials of graphs,” Boletim da Sociedade Paranaense de Matemática, vol. 40, no. 1, pp. 1–8, Jan. 2022.
  • N. ÖZDOĞAN, “A note on the Theory of Gamma and Beta Functions,” European Journal of Science and Technology, pp. 0–0, Dec. 2022.
  • N. ÖZDOĞAN, “Local Analysis of a Competitive Problem with Toxicants,” European Journal of Science and Technology, pp. 0–0, Jan. 2022.
  • N. ÖZDOĞAN and M. YAKIT ONGUN, “Dynamical Behaviours of a Discretizated Model with Michaelis-Menten Harvesting Rate,” Journal of Universal Mathematics, pp. 0–0, Jan. 2022.
  • H. ŞAHİN, "A new kind of F-contraction and some best proximity point results for such mappings with an application", Turkish Journal of Mathematics, vol. 46, no. 6, pp. 2151–2166, Jul. 2022.
  • H. ŞAHİN, "A New Best Proximity Point Result with an Application to Nonlinear Fredholm Integral Equations", Mathematics, vol. 10, no. 4, pp. 1–14, Feb. 2022.
  • H. ŞAHİN, “A New Type of  F -Contraction and Their Best Proximity Point Results with Homotopy Application,” Acta Applicandae Mathematicae, vol. 179, no. 1, pp. 0–0, Jun. 2022.
  • M. ASLANTAŞ, H. ŞAHİN, and İ. ALTUN, “Ciric type cyclic contractions and their best cyclic periodic points,” Carpathian Journal of Mathematics, vol. 38, no. 2, pp. 315–326, Feb. 2022.
  • H. ŞAHİN, “Existence and uniqueness results for nonlinear fractional differential equations via new Q-function,” Advances in Operator Theory, vol. 7, no. 1, pp. 1–21, Jan. 2022.
  • U. Sadullah, M. ASLANTAŞ, and H. ŞAHİN, “Some generalizations for mixed multivalued mappings,” Applied General Topology, vol. 23, no. 1, pp. 169–178, Apr. 2022.

2021

  • İ. KÜPELİ ERKEN and C. MURATHAN, "Riemannian Warped Product Submersions," Results in Mathematics, vol. 76, no. 1, pp. 1422–6383, Nov. 2021.
  • B. ALVEROGLU, “On the instability of Ekman boundary-layer flow over a rough disk with a wavy surface profile”, Numerical Methods for Partial Differential Equations, vol. 37 no.2, pp. 1495-1505, 2021. 
  • N. ORHAN ERTAŞ and SEMA SÜRÜL, “Some properties of intersection graph of a module with an application of the graph of ℤn,” Journal of Discrete Mathematical Sciences and Cryptography, pp. 0–0, Feb. 2021.
  • N. ORHAN ERTAŞ, “On Almost Projective Modules”,  Axioms, vol. 10, no. 1, pp. 1–7, Feb. 2021.
  • N. ORHAN ERTAŞ and UMMUHAN ACAR, “On Rings Whose Quasi-Projective Modules Are Projective or Semisimple,” Communications in Mathematics and Applications, vol. 12, no. 2, pp. 295–302, Jun. 2021.
  • C. ORTIZ, A. LARA, J. GONZALEZ, and A. BORAT, “A Randomized Greedy Algorithm for Piecewise Linear Motion Planning,” Mathematics, vol. 9, no. 19, 2358, Oct. 2021.
  • A. BORAT and T. VERGİLİ, “Higher Homotopic Distance,” Topological Methods in Nonlinear Analysis, vol. 57, no. 2, pp. 525–534, Jun. 2021.
  • A. BORAT, “Digital Homotopic Distance between Digital Functions,” Applied General Topology, vol. 22, no. 1, pp. 183–192, Apr. 2021.
  • B. ARSLAN, “Structure Preserving Algorithm for the Logarithm of Symplectic Matrices,” Mathematical Sciences and Applications E-Notes, vol. 9, no. 3, pp. 133–141, Sep. 2021.
  • M. S. ÖZ and İ. N. CANGÜL, "Recurrence Relations of Edge-Zagreb and Sum-Edge Characteristic Polynomials of Some Graphs," New Trends in Applied Analysis and Computational Mathematics, Advances in Intelligent Systems and Computing, Springer Book Series, pp. 99–106, Jun. 2021.
  • M. S. ÖZ and İ. N. CANGÜL, “Computing the Hosoya and the Merrifield-Simmons Indices of Two Special Benzenoid Systems,” Iranian Journal of Mathematical Chemistry, vol. 12, no. 3, pp. 161–174, Jan. 2021.

2020

  • T. AĞIRMAN AYDIN, M. SEZER, S. ÇAYAN, and A. MAĞDEN, “On a curve and a system,” GSC Advanced Research and Reviews, vol. 5, no. 3, pp. 30–52, Dec. 2020.
  • A. MAĞDEN, A. GEZER, and K. KARACA, “Some Problems Concerning with Sasaki Metric on the Second-Order Tangent Bundles,” International Electronic Journal of Geometry, vol. 13, no. 2, pp. 75–86, Oct. 2020.
  • İ. KÜPELİ ERKEN, C. MURATHAN, and A. Yazla, “Almost cosympletic statistical manifolds,” Quaestiones Mathematicae, vol. 43, no. 2, pp. 265–282, Feb. 2020.
  • İ. KÜPELİ ERKEN, “Invariant Submanifolds of Paracontact Metric  tilde  kappa  ne -1  tilde  mu  -Manifolds,” Results in Mathematics, vol. 75, no. 3, pp. 0–0, Sep. 2020.
  • İ. KÜPELİ ERKEN, “YAMABE SOLITONS ON THREE-DIMENSIONAL NORMAL ALMOST PARACONTACT METRIC MANIFOLDS,” Periodica Mathematica Hungarica, vol. 80, no. 2, pp. 172–184, Jun. 2020.
  • İ. KÜPELİ ERKEN, “PARACONTACT METRIC  κ  µ  R -HARMONIC MANIFOLDS,” Kragujevac Journal of Mathematics, vol. 44, no. 3, pp. 423–430, Sep. 2020.
  • A. BORAT, “Higher dimensional simplicial complexity,” New York Journal of Mathematics, vol. 26, pp. 1130–1144, Oct. 2020.
  • T. VERGİLİ and A. BORAT, “Digital Lusternik-Schnirelmann Category of Digital Functions,” Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 4, pp. 1414–1422, Aug. 2020.
  • A. BORAT and M. GRANT, “Directed topological complexity of spheres,” Journal of Applied and Computational Topology, vol. 4, no. 1, pp. 3–9, Mar. 2020.
  • M. KOCABIYIK, N. ÖZDOĞAN, and M. YAKIT ONGUN, “Nonstandard Finite Difference Scheme for a Computer Virus Model,” JISE, pp. 0–0, Oct. 2020.
  • A. H. Al-Mohy and B. ARSLAN, “The complex step approximation to the higher order Frechet derivatives of a matrix function,” Numerical Algorithms, pp. 0–0, 2020.
  • A. YURTTAŞ GÜNEŞ, M. DEMİRCİ, M. S. ÖZ, and İ. N. CANGÜL, “Matching number and characteristic polynomial of a graph,” Journal of Taibah University for Science, vol. 14, no. 1, pp. 993–999, Jan. 2020.
  • M. S. ÖZ and İ. N. CANGÜL, “Algebraic Method for Characteristic Edge-Zagreb and Laplacian Polynomials of Graphs,” Advanced Studies in Contemporary Mathematics, vol. 30, no. 3, pp. 289–296, Jul. 2020.
  • Ç. YAMAÇ, M. S. ÖZ, and İ. N. CANGÜL, “Edge-Zagreb Indices of Graphs,” TWMS Journal of Applied and Engineering Mathematics, vol. 10, no. 1, pp. 1–10, Jan. 2020.
  • M. S. ÖZ and İ. N. CANGÜL, “Bounds for Matching Number of Fundamental Realizations According to New Graph Invariant Omega,” Proceedings of the Jangjeon Mathematical Society, vol. 23, no. 1, pp. 23–37, Feb. 2020.

2019

  • S. Gönül, İ. KÜPELİ ERKEN, A. Yazla, and C. MURATHAN, “A  Neutral relation between metallic structure and almost quadratic φ -structure,” Turkish Journal of Mathematics, vol. 43, no. 1, pp. 268–278, Jan. 2019.
  • İ. KÜPELİ ERKEN, “REEB FLOW SYMMETRY ON 3-DIMENSIONAL ALMOST PARACOSYMPLECTIC MANIFOLDS,” Filomat, vol. 33, no. 8, pp. 2355–2365, Dec. 2019.
  • İ. KÜPELİ ERKEN, “CLASSIFICATION OF THREE-DIMENSIONAL CONFORMALLY FLAT QUASI-PARA-SASAKIAN MANIFOLDS,” Honam Mathematical Journal, vol. 41, no. 3, pp. 489–503, Sep. 2019.
  • İ. KÜPELİ ERKEN, “Curvature Properties of Quasi-Para-Sasakian Manifolds,” INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol. 12, no. 2, pp. 210–217, Oct. 2019.
  • İ. KÜPELİ ERKEN, “ON A CLASSIFICATION OF ALMOST α-COSYMPLECTIC MANIFOLDS,” Khayyam Journal Of Mathematics, vol. 5, no. 1, pp. 1–10, Jan. 2019.
  • R. GÖRÜNÜŞ, İ. KÜPELİ ERKEN, A. Yazla, and C. MURATHAN, “A  Generalized Wintgen Inequality for Legendrian Submanifolds in Almost Kenmotsu Statistical Manifolds,” International Electronic Journal of Geometry, vol. 12, no. 1, pp. 43–56, Apr. 2019.
  • İ. KÜPELİ ERKEN, “On almost α-para-Kenmotsu manifolds satisfyıng certain conditions,” Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, vol. 68, no. 1, pp. 559–571, Jan. 2019.
  • A. A. Alqarni, B. ALVEROĞLU, P. Griffiths, and S. Garrett, “The instability of non-Newtonian boundary-layer flows over rough rotating disks,” Journal of Non-Newtonian Fluid Mechanics, vol. 273, pp. 104174–0, Nov. 2019.
  • B. ARSLAN, V. Noferini, and F. Tisseur, “The Structured Condition Number of a Differentiable Map between Matrix Manifolds  with Applications,” SIAM Journal on Matrix Analysis and Applications, vol. 40, no. 2, pp. 774–799, Apr. 2019.
  • M. S. ÖZ and İ. N. CANGÜL, “Matching number in relation with maximal-minimal nullity conditions and cyclomatic number by coefficient relations,” Advanced Studies in Contemporary Mathematics, vol. 29, no. 4, pp. 461–475, Nov. 2019.
  • M. S. ÖZ, C. YAMAC, and İ. N. CANGÜL, “Sum edge characteristic polynomials of graphs,” Journal of Taibah University for Science, vol. 13, no. 1, pp. 193–200, Jan. 2019.
  • M. İSGENDEROĞLU and İ. TEKİN, “A New Approach for Unique Restoration of a Time Dependent Matrix Potential in a Hyperbolic Scattering Problem on the Semi Axis,” AZERBAIJAN JOURNAL OF MATHEMATICS, vol. 9, no. 1, pp. 156–170, Jan. 2019.

2018

  • A. BORAT and T. VERGİLİ, “Digital Lusternik Schnirelmann Category,” Turkish Journal of Mathematics, vol. 42, no. 4, pp. 1845–1852, Jul. 2018.
  • İ. KÜPELİ ERKEN, "ON GENERALIZED φ-RECURRENT AND GENERALIZED CONCIRCULARLY φ-RECURRENT N(κ)-PARACONTACTMETRIC MANIFOLDS," Facta Universitatis series: Mathematics and Informatics, vol. 33, no. 5, pp. 659-671, 2018.
  • İ. KÜPELİ ERKEN and C. MURATHAN, “Biharmonic pseudo Riemannian submersions from 3 manifolds,” Filomat, vol. 32, no. 2, pp. 543–552, Jan. 2018.
  • İ. KÜPELİ ERKEN, “Three Dimensional Quasi Para Sasakian ManifoldsSatisfying Certain Curvature Conditions,” MATHEMATICAL SCIENCES AND APPLICATIONS E-NOTES, vol. 6, no. 2, pp. 57–65, Oct. 2018.
  • İ. KÜPELİ ERKEN and C. MURATHAN, “Ricci collineations on 3 dimensional paracontact metric manifolds,” Afrika Matematika, vol. 29, no. 3–4, pp. 665–675, Jun. 2018.
  • İ. TEKİN, “Existence and uniqueness of an inverse problem for a second order hyperbolic equation”, Universal Journal of Mathematics and Applications, pp. 178–185, 2018.

2017

  • İ. KÜPELİ ERKEN and C. MURATHAN, “A study of three dimensional paracontact  κ  μ  ν  spaces,” International Journal of Geometric Methods in Modern Physics, vol. 14, no. 7, pp. 1750106–0, Jul. 2017.

2016

  • A. BORAT, “Symplectically aspherical manifolds with nontrivial Flux groups,” Acta Mathematica Hungarica, vol. 149, no. 2, pp. 523–525, Aug. 2016.
  • A. BORAT, “Motion planning algorithms for configuration spaces in the higher dimensional case,” Topological Methods in Nonlinear Analysis, vol. 47, no. 2, pp. 763–767, Jun. 2016.