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Uygulamalı Matematik Anabilim Dalı
İçerik Hazırlanıyor
Son İki Yılda Uluslararası Dergilerde Yayınlanan Makaleler
2026
23. Kızıl, Ä.; 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
22. 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.
21. 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.
20. 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.
19. Demirbilek, U.; Baloch, S.; Siddique, Ä.; 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.
18. Mehdi, K.; A. mousa, A.; Baloch, S.; Demirbilek, U.; Ghallab, A.; Siddique, Ä.; 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.
17. Demirbilek, U.; Tedjani, A.; Seadwy, A. Analytical solutions of the combined Kairat-â…¡-â…© equation: a dynamical perspective on bifurcation, chaos, energy, and sensitivity. AIMS MATHEMATICS, 2025, 10, 13664-13691.
16. Demirbilek, U. Analytical Study on the Generalized q-Deformed Sinh–Gordon (Eleuch) Equation. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2025, 65, 825-839.
15. şenol, M.; çelik, F.; Demirbilek, U. Comparative analysis of analytical and numerical techniques in solving the (3+1)-dimensional conformable combined pKP-BKP equation. APPLIED MATHEMATICS—A JOURNAL OF CHINESE UNIVERSITIES, 2025, , -.
2024
14. Batool, F.; Rezazadeh, Â.; 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.
13. 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.
12. Mabrouk, S.; Rezazadeh, Â.; Ahmad, H.; Rashed, Â.; 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.
11. 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.
10. 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.
9. 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.
8. 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.
7. 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.
6. 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.
5. 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.
4. Gülşen, T.; Göktaş, S.; Abdeljawad, T.; Gürefe, Y. Sturm-Liouville problem in multiplicative fractional calculus. AIMS MATHEMATICS, 2024, 9, 22794-22812.
3. 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.
2. 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.
1. Kışoğlu, H.; Ala, V. Analytical investigation of a Dirac particle dynamics in a hyperbolic magnetic field with position-dependent mass: exact solutions and ladder operators. PHYSICA SCRIPTA, 2024, 100, -.
