Matematik Yüksek Lisans Programı

Yüksek lisans programı doktora programına geçişte bir ilk adım olarak düşünülebilir.
Program; öğrencilere, cebir, yaklaşım teorisi, diferansiyel denklemler, fonksiyonel analiz, geometri, sayılar
teorisi, operatör teori, spektral teori, saçılma teorisi ve toplanabilme teorisi gibi çeşitli araştırma alanlarında
çalışmalarını ve bu alanlarda uzmanlaşmalarını sağlamayı amaçlamaktadır. Öğrenciler, toplamda 21 kredi
olan 7 dersi, enstitü zorunlu dersleri bilimsel etik ve bilimsel araştırma ve bir yüksek lisans seminerini başarıyla verdikten sonra; yüksek lisans tezlerini hazırlama aşamasına geçerler. Her öğrenci, bölümdeki öğretim elemanlarının danışmanlığı gözetiminde çalışır ve
bölümde düzenlenen bölüm seminerlerine katılabilir.
Matematik bölümü dışındaki bir bölümden mezun olan
öğrenciler “Bilimsel Hazırlık” programına alınırlar.
Program dili “Türkçe”dir.
Son İki Yılda Uluslararası Dergilerde Yayınlanan Makaleler
2025
52. Değer, U.; Imaş kızı, M.; Abdullayev, F. On the behavior of m-th derivatives of polynomials in bounded and unbounded regions without zero angles in weighted Lebesgue spaces. AXIOMS, 2025, , -.
2024
51. Demirbilek, U.; Nadeem, M.; çelik, F.; Bulut, H.; şenol, M. Generalized extended (2+1)-dimensional Kadomtsev-Petviashvili equation in fluid dynamics: analytical solutions, sensitivity and stability analysis. NONLINEAR DYNAMICS, 2024, 112, 1-16.
10.1007/s11071-024-09724-3
50. Göktaş, S.; öner, A.; Gürefe, Y. The Extended Weierstrass Transformation Method for the Biswas-Arshed Equation with Beta Time Derivative. FRACTAL AND FRACTIONAL, 2024, 8, 1-20.
10.3390/fractalfract8100593
49. Göktaş, S.; öner, A.; Gürefe, Y. The Extended Weierstrass TransformationMethod for the Biswas-Arshed Equation with Beta Time Derivative. FRACTAL AND FRACTIONAL, 2024, , 1-20.
48. Long, L.; Gürefe, Y.; Moghaddam, B. Fractional Tikhonov regularization and error estimation in inverse source problems for Biharmonic equations: a priori and a posteriori analysis under deterministic and random perturbations. NUMERICAL ALGORITHMS, 2024, , 1-24.
10.1007/s11075-024-01955-0
47. şimşek, D.; Oğul, B.; Abdullayev, F. Dynamical Behavior of Rational Difference Equation x_{n+1}=((x_{n-13})/(±1±x_{n-1}x_{n-3}x_{n-5}x_{n-7}x_{n-9}x_{n-11}x_{n-13})). UKR. MATH. J., 2024, 76, 1093-1108.
46. Nam, B.; Huynh, L.; Long, L.; Gürefe, Y. On terminal value problem for fractional superdiffusive of Sobolev equation type. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS - S, 2024, 17, 1195-1207.
10.3934/dcdss.2023172
45. Bayram, E.; Küçükaslan, M.; Et, M.; Aydın, A. Introducing Statistical Operators: Boundedness, Continuity, and Compactness. SIBERIAN MATHEMATICAL JOURNAL, 2024, 65, 1214-1226.
10.1134/S0037446624050215
44. Abdullayev, F.; Savchuk, V. Fejér-type positive operator based on Takenaka–Malmquist system on unit circle. J. MATH. ANAL. APPL., 2024, 529, 127298-127298.https://doi.org/10.1016/j.jmaa.2023.127298
43. Küçükaslan, M.; Temizsu, F.; çınar, M.; Aydın, A. Deferred statistical convergence of A-transformation of real valued sequences. FILOMAT, 2024, 38, 1595-1611.
10.2298/FIL2405595K
42. Batool, F.; Suleman, M.; Demirbilek, U.; Rezazadeh, H.; Khedher, K.; Alsulamy, S.; Ahmad, H. Studying the impacts of M-fractional and beta derivatives on the nonlinear fractional model. OPTICAL AND QUANTUM ELECTRONICS, 2024, 56, 164-.
10.1007/s11082-023-05634-7
41. Bayram, E.; Aydın, A.; Küçükaslan, M. Weighted statistical rough convergence in normed spaces. MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2024, 18, 178-192.
40. Gülşen, T.; Göktaş, S.; Abdeljawad, T.; Gürefe, Y. Sturm-Liouville problem in multiplicative fractional calculus. AIMS MATHEMATICS, 2024, 9, 22794-22812.
10.3934/math.20241109
39. Değer, U.; Abdullayev, F. On the behavior of derivatives of algebraic polynomials in regions with piecewise quasismooth boundary having cusps. FILOMAT, 2024, 38, 3467-3492.
10.2298/FIL2410467D
38. Değer, U.; Abdullayev, F. On the growth of derivatives of algebraic polynomials in regions with a piecewise quasicircle with zero angles. FILOMAT, 2024, 38, 3493-3522.
10.2298/FIL2410493D
37. Bayındır, H.; Değer, U. A note on approximation by some product means in variable exponent Lebesgue spaces. MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2024, 18, 37-45.
36. Demirtaş, N.; Dalkılıç, O.; Riaz, M.; Al-quran, A. Mathematical analysis of parameters belonging to yhe universe in the soft set theory with new distance measures. JOURNAL OF INTELLIGENT AND FUZZY SYSTEMS, 2024, 46, 3975-3985.
35. Tariq, H.; Ashraf, H.; Rezazadeh, H.; Demirbilek, U. Travelling wave solutions of nonlinear conformable Bogoyavlenskii equations via two powerful analytical approaches. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES, 2024, 39, 502-518.
10.1007/s11766-024-5030-7
34. Değer, U.; Abdullayev, F. Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space in regions with a cusps. TURKISH JOURNAL OF MATHEMATICS, 2024, 48, 713-733.
33. Yılmaz, E.; Aydın, E.; Göktaş, S. Solution of Dirac dynamic system by Laplace transform on time scales in quantum physics. FILOMAT, 2024, 38, 7719-7728.
10.2298/FIL2422719Y
32. Tunç, T.; Erdem, A. Korovkin-type theorems via some modes of convergence. FILOMAT, 2024, 38, 8-.
10.2298/FIL2402523T
31. Long, L.; Mınh, V.; Gürefe, Y.; Pandır, Y. GLOBAL EXISTENCE AND CONTINUOUS DEPENDENCE ON PARAMETERS OF CONFORMABLE PSEUDO-PARABOLIC INCLUSION. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14, 986-1005.
10.11948/20230246
30. şimşek, D.; Oğul, B.; Abdullayev, F. Dynamical Behavior of Solution of Fifteenth-Order Rational Difference Equation . FILOMAT, 2024, 38, 997-1008.
10.2298/FIL2403997S
29. Değer, U.; Abdullayev, F. "On the behavior of derivatives of algebraic polynomials in regions with piecewise quasi smooth boundary having cusps. FILOMAT, 2024, 38, -.
28. çuvalcıoğlu, G.; Taciroğlu, M.; Bal, A. A new method for CBR prediction using fuzzy set theory. CONSTRUCTION AND BUILDING MATERIALS, 2024, 447, -.
10.1016/j.conbuildmat.2024.138046
27. Değer, U.; Abdullayev, F. Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space in regions with cusps. TURKISH JOURNAL OF MATHEMATICS, 2024, 48, -.
26. Mabrouk, S.; Rezazadeh, .; Ahmad, H.; Rashed, .; Demirbilek, U.; Gepreel, K. Implementation of optical soliton behavior of the space–time conformable fractional Vakhnenko–Parkes equation and its modified model. OPTICAL AND QUANTUM ELECTRONICS, 2024, 56, -.
10.1007/s11082-023-05553-7
25. şenol, M.; Gençyiğt, M.; Demirbilek, U.; Az-zo’bi, E. Sensitivity and wave propagation analysis of the time-fractional (3+1)-dimensional shallow water waves model. ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK, 2024, 75, -.
10.1007/s00033-024-02216-9
24. Erdem, A.; Dişkaya, O.; Menken, H. On the F-Bernstein Polynomials. UKRAINIAN MATHEMATICAL JOURNAL, 2024, 76, -.
10.1007/s11253-024-02364-1
23. şenol, M.; Gençyiğit, M.; Demirbilek, U.; Akınyemı, L.; Rezazadeh, H. New analytical wave structures of the (3+1)-dimensional extended modified Ito equation of seventh-order. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, , -.
10.1007/s12190-024-02029-z
2023
22. Pandır, Y.; Gürefe, Y. A New Version of the Generalized F-Expansion Method for the Fractional Biswas-Arshed Equation and Boussinesq Equation with the Beta-Derivative. JOURNAL OF FUNCTION SPACES, 2023, 2023, 1-14.
10.1155/2023/1980382
21. Dişkaya, O.; Menken, H. Compositions of positive integers with 2s and 3s. DEMONSTRATIO MATHEMATICA, 2023, 56, 1-14.
10.1515/dema-2022-0227
20. Ravi, V.; Chidambaram, N.; çolakoğlu havare, .; Ahmed, H.; Jaganathan, S.; Jaganathan, J. QSPR Study and Distance-Based New Topological Descriptors of Some Drugs Used in the COVID-19 Treatment. JOURNAL OF MATHEMATICS, 2023, 2023, 1-15.
10.1155/2023/1187415
19. Pandır, Y.; Aktürk, T.; Gürefe, Y.; Juya, H. The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation. ADVANCES IN MATHEMATICAL PHYSICS, 2023, 2023, 1-18.
10.1155/2023/1091355
18. Abdullayev, F.; Savchuk, V.; Savchuk, M. BEST APPROXIMATION-PRESERVING OPERATORS OVER HARDY SPACE. ANALYSIS AND MATHEMATICAL PHYSICS, 2023, 13, 1-19.10.1007/s13324-023-00825-7
17. Yasmın, H.; Pandır, Y.; Aktürk, T.; Gürefe, Y. Exact Solutions of the Stochastic Conformable Broer–Kaup Equations. AXIOMS, 2023, 12, 1-32.
10.3390/axioms12090889
16. özgen, H. Generalized absolute matrix summability of infinite series and Fourier series. INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 53, 1083-1089.
10.1007/s13226-022-00220-1
15. özgen, H. On Absolute Matrix Summability of Factored Infinite Series and Fourier Series. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2023, 44, 1300-1308.
10.1080/01630563.2023.2241146
14. özgen, H. Equivalence Theorem for Absolute Matrix Summability Methods. MATHEMATICAL NOTES, 2023, 114, 1322-1327.
10.1134/s0001434623110640
13. Demirbilek, U.; Reşidoğlu, H. Application of IBSEF Method to Chaffee–Infante Equation in (1 + 1) and (2 + 1) Dimensions. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2023, 63, 1444-1451.
10.1134/S0965542523080067
12. Dalkılıç, O.; Demirtaş, N. A novel perspective for Q‑neutrosophic soft relations and their application in decision making. ARTIFICIAL INTELLIGENCE REVIEW, 2023, 56, 1493-1513.
10.1007/s10462-022-10207-3
11. özgen, H. On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane. OPEN MATHEMATICS, 2023, 21, 20230115-.
10. Dalkılıç, O.; Demirtaş, N. Algorithms for Covid-19 outbreak using soft set theory: estimation and application. SOFT COMPUTING, 2023, 27, 3203-3211.
10.1007/s00500-022-07519-5
9. Dişkaya, O.; Menken, H. Bernoulli-Padovan polynomials and Pado-Bernoulli matrices. MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2023, 17, 55-67.
8. Eken meriç, . Golden Riemannian Submersions. FILOMAT, 2023, 37, 5659-5670.
10.2298/FIL2317659M
7. özkartepe, N.; Imaş kızı, M.; Abdullayev, F. Bernstein-Nikolskii-Markov-Type Inequalities for Algebraic Polynomials in a Weighted Lebesgue Space. FILOMAT, 2023, 37, 5701-5715.
6. Yılmazer, M.; Yılmaz, E.; Göktaş, S.; Et, M. Multiplicative Laplace transform in q− calculus. FILOMAT, 2023, 37, 5859-5872.
10.2298/FIL2318859Y
5. Yılmaz, E.; Gülşen, T.; Göktaş, S. Reconstruction of Green’s function for multiplicative Sturm-Liouville problem. FILOMAT, 2023, 37, 761-773.
10.2298/FIL2303761Y
4. Hejduk, J.; Küçükaslan, M.; Loranty, A. On 〈s〉-generalized topologies. WALTER DE GRUYTER GMBH, 2023, 0, -.
10.1515/gmj-2023-2096
3. Demirtaş, N.; Dalkılıç, O. Evaluation of medical diagnosis of prostate cancer based on fuzzy TOPSIS–database interaction. COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 42, -.
10.1007/s40314-023-02454-z
2. Dişkaya, O.; Menken, H. Compositions of positive integers with 2s and 3s. DEMONSTRATIO MATHEMATICA, 2023, 56, -.
10.1515/dema-2022-0227
1. Dalkılıç, O.; Demirtaş, N. Novel hybrid soft set theories focusing on decision-makers by considering the factors affecting the parameters. JOURNAL OF EXPERIMENTAL & THEORETICAL ARTIFICIAL INTELLIGENCE, 2023, , -.
10.1080/0952813X.2023.2259913