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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
2026
35. Kızıl, .; Demirbilek, U.; çelik, E. Investigation of new analytical and numerical solutions of the extended (2+1) dimensional Boussinesq equation using fractional derivative approaches. JOURNAL OF COMPUTATIONAL PHYSICS, 2026, 551, -.
10.1016/j.jcp.2026.114654
2025
34. Bulut, H.; Demirbilek, U.; çelik, E. Dynamical Soliton Solutions of (2 + 1)-Dimensional ParaxialWave and (4 + 1)-Dimensional Fokas Wave Equations WithTruncated M-Fractional Derivative Using an Efficient Technique. JOURNAL OF MATHEMATICS, 2025, 2025, 1-18.
33. şenol, M.; Demirbilek, U.; çelik, F.; Nadeem, M. Analytical study on the conformable KdV-CBS equation with sensitivity and bifurcation analysis. MODERN PHYSICS LETTERS A, 2025, 40, 1-20.
32. Tarıq, K.; Rezazadeh, H.; Tufail, R.; Demirbilek, U. Propagation of lump and travelling wave solutions to the (4+1)-dimensional Fokas equation arise in mathematical physics. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2025, 22, 1-21.
31. Demirbilek, U.; Baloch, S.; Siddique, .; Bulut, H.; Radwan, T. Exploring Lump Solutions, Bifurcation, Sensitivity, and Chaotic Dynamics in the Extended KP-Boussinesq Equation. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2025, 32, 1-23.
30. Mehdi, K.; A. mousa, A.; Baloch, S.; Demirbilek, U.; Ghallab, A.; Siddique, .; Zulqarnain, R. Exploration of Soliton Dynamics and Chaos in the Landau-Ginzburg-Higgs Equation Through Extended Analytical Approaches. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2025, 32, 1-35.
29. Demirbilek, U.; Tedjani, A.; Seadwy, A. Analytical solutions of the combined Kairat-Ⅱ-Ⅹ equation: a dynamical perspective on bifurcation, chaos, energy, and sensitivity. AIMS MATHEMATICS, 2025, 10, 13664-13691.
28. Khan, S.; çolakoğlu havare, .; Hayat malik, M.; ıshaq, M.; Faryade, U. A Comparative Study: Domination Parameters and Physico-Chemical Properties of Benzenoid Hydrocarbons. POLYCYCLIC AROMATIC COMPOUNDS, 2025, 45, 793-809.
27. Demirbilek, U. Analytical Study on the Generalized q-Deformed Sinh–Gordon (Eleuch) Equation. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2025, 65, 825-839.
26. Demirbilek, U.; Danladi, A.; Bulut, H.; Seadwy, A.; Ahmed, . Exploring optical solitons, modulation instability and chaotic behavior in the Schrödinger–Hirota equation. RENDICONTI LINCEI. SCIENZE FISICHE E NATURALI, 2025, , -.
2024
25. Batool, F.; Rezazadeh, .; Ali, Z.; Demirbilek, U. Exploring soliton solutions of stochastic Phi-4 equation through extended Sinh-Gordon expansion method. OPTICAL AND QUANTUM ELECTRONICS, 2024, 56, 1-13.
24. şenol, M.; Gençyiğit, 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, 1-15.
23. 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, 1-16.
22. 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.
21. 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.
20. 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, 1-21.
19. Nan, T.; Baber, M.; Ahmed, N.; Iqbal, M.; Demirbilek, U.; Rezazadeh, H. Effects of Brownian motion on solitary wave structures for 1D stochastic Poisson–Nernst–Planck system in electrobiochemical. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024, 21, 1-23.
18. 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.
17. 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.
16. Bayram, E.; Küçükaslan, M.; Et, M.; Aydın, A. Introducing Statistical Operators: Boundedness, Continuity, and Compactness. SIBERIAN MATHEMATICAL JOURNAL, 2024, 65, 1214-1226.
15. 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, 13393-13408.
14. Küçükaslan, M.; Temizsu, F.; çınar, M.; Aydın, A. Deferred statistical convergence of A-transformation of real valued sequences. FILOMAT, 2024, 38, 1595-1611.
13. Bayram, E.; Aydın, A.; Küçükaslan, M. Weighted statistical rough convergence in normed spaces. MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2024, 18, 178-192.
12. 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, 70, 2079-2095.
11. Gülşen, T.; Göktaş, S.; Abdeljawad, T.; Gürefe, Y. Sturm-Liouville problem in multiplicative fractional calculus. AIMS MATHEMATICS, 2024, 9, 22794-22812.
10. 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.
9. Tarıq, 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.
8. 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.
7. Tunç, T.; Erdem, A. Korovkin-type theorems via some modes of convergence. FILOMAT, 2024, 38, 8-.
6. 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.
5. Değer, U.; Abdullayev, F. On the growth of derivatives of algebraic polynomials in regions with a piecewise quasicircle with zero angles. FILOMAT, 2024, 38, -.
4. çuvalcıoğlu, G.; Taciroğlu, M.; Bal, A. A new method for CBR prediction using fuzzy set theory. CONSTRUCTION AND BUILDING MATERIALS, 2024, 447, -.
3. 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, -.
2. Erdem, A.; Dişkaya, O.; Menken, H. On the F-Bernstein Polynomials. UKRAINIAN MATHEMATICAL JOURNAL, 2024, 76, -.
1. Küçükaslan, M.; Aydın, A. Deferred statistical order convergence in Riesz spaces. HACETTEPE UNIVERSITY, 2024, , -.
