Matematik Doktora Programı
Doktora programına, Matematik alanında bir yüksek lisans derecesine sahip
öğrenciler başvurabilir. Programdaki araştırma konuları, cebir, yaklaşım teorisi, diferansiyel denklemler,
fonksiyonel analiz, geometri, sayılar teorisi, operatör teori, spektral teori, saçılma teorisi ve toplanabilme
teorisi biçiminde sıralanabilir. Programa başvurmak için, adayların geçerli Yabancı Dil Sınavı’ndan (YDS) minimum 55
puan (veya YDS’ye denk olarak kabul edilen diğer sınavlardan, bu puana karşılık gelen puan) ve Akademik
Personel ve Lisansüstü Eğitim Sınavı’ndan (ALES) minimum 55 almaları beklenmektedir. Doktora programına
başvuran adaylar, lisans ve yüksek lisans başarısı, dil puanı, mülakat, bilim sınavı ve ALES puanları göz önüne
alınarak programa kabul edilir. Programa kabul edilen öğrenciler, toplamda 21 kredi olan 7 dersi başarıyla
geçtikten ve bir tane doktora semineri verdikten sonra doktora yeterlik sınavına başvurabilir ve bu sınavı
geçtikten sonra doktora tez çalışmalarına başlayabilir.
Her öğrenci, bölümdeki öğretim elemanlarının
danışmanlığı gözetiminde çalışır ve bölümde düzenlenen bölüm seminerlerine katılabilir.
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.
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.
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.
45. Bayram, E.; Küçükaslan, M.; Et, M.; Aydın, A. Introducing Statistical Operators: Boundedness, Continuity, and Compactness. SIBERIAN MATHEMATICAL JOURNAL, 2024, 65, 1214-1226.
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.
43. Küçükaslan, M.; Temizsu, F.; çınar, M.; Aydın, A. Deferred statistical convergence of A-transformation of real valued sequences. FILOMAT, 2024, 38, 1595-1611.
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-.
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.
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.
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.
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.
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.
32. Tunç, T.; Erdem, A. Korovkin-type theorems via some modes of convergence. FILOMAT, 2024, 38, 8-.
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.
30. şimşek, D.; Oğul, B.; Abdullayev, F. Dynamical Behavior of Solution of Fifteenth-Order Rational Difference Equation . FILOMAT, 2024, 38, 997-1008.
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, -.
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, -.
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, -.
24. Erdem, A.; Dişkaya, O.; Menken, H. On the F-Bernstein Polynomials. UKRAINIAN MATHEMATICAL JOURNAL, 2024, 76, -.
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, , -.
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.
21. Dişkaya, O.; Menken, H. Compositions of positive integers with 2s and 3s. DEMONSTRATIO MATHEMATICA, 2023, 56, 1-14.
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.
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.
18. Abdullayev, F.; Savchuk, V.; Savchuk, M. BEST APPROXIMATION-PRESERVING OPERATORS OVER HARDY SPACE. ANALYSIS AND MATHEMATICAL PHYSICS, 2023, 13, 1-19.
17. Yasmın, H.; Pandır, Y.; Aktürk, T.; Gürefe, Y. Exact Solutions of the Stochastic Conformable Broer–Kaup Equations. AXIOMS, 2023, 12, 1-32.
16. özgen, H. Generalized absolute matrix summability of infinite series and Fourier series. INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 53, 1083-1089.
15. özgen, H. On Absolute Matrix Summability of Factored Infinite Series and Fourier Series. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2023, 44, 1300-1308.
14. özgen, H. Equivalence Theorem for Absolute Matrix Summability Methods. MATHEMATICAL NOTES, 2023, 114, 1322-1327.
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.
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.
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.
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.
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.
5. Yılmaz, E.; Gülşen, T.; Göktaş, S. Reconstruction of Green’s function for multiplicative Sturm-Liouville problem. FILOMAT, 2023, 37, 761-773.
4. Hejduk, J.; Küçükaslan, M.; Loranty, A. On 〈s〉-generalized topologies. WALTER DE GRUYTER GMBH, 2023, 0, -.
3. Demirtaş, N.; Dalkılıç, O. Evaluation of medical diagnosis of prostate cancer based on fuzzy TOPSIS–database interaction. COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 42, -.
2. Dişkaya, O.; Menken, H. Compositions of positive integers with 2s and 3s. DEMONSTRATIO MATHEMATICA, 2023, 56, -.
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, , -.