Yazar "Şenol, Mehmet" seçeneğine göre listele

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    ANALYTICAL AND NUMERICAL SOLUTIONS FOR TIME-FRACTIONAL NEW COUPLED MKDV EQUATION ARISING IN INTERACTION OF TWO LONG WAVES
    (Asia Pacific Academic, 2019) Tasbozan, Orkun; Şenol, Mehmet; Kurt, Ali; Baleanu, Dumitru
    The aim of this paper is to present new exact solution sets of nonlinear conformable time-fractional new coupled mKdV equations which arise in interaction of two long waves with different dispersion relations by means of sub-equation method. In addition, we also propose an analytical-approximate method namely residual power series method (RPSM) for the system. The fractional derivatives have been explained in newly defined conformable type, during the solution procedure. The exact solutions of the system obtained by the sub-equation method have been compared to approximate solutions derived by RPSM. The results showed that both methods are robust, dependable, easy to apply and a good alternative for seeking solutions of fractional partial differential equations. © 2019 Asia Pacific Journal of Mathematics.
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    Approximate solutions of the time-fractional Kadomtsev-Petviashvili equation with conformable derivative
    (Erzincan Üniversitesi, 2019) Durur, Hülya; Şenol, Mehmet; Kurt, Ali; Taşbozan, Orkun
    In this study, residual power series method, namely RPSM, is applied to solve time-fractional KadomtsevPetviashvili (K-P) differential equation. In the solution procedure, the fractional derivatives are explained in the conformable sense. The model is solved approximately and the obtained results are compared with exact solutions obtained by the sub-equation method. The results reveal that the present method is accurate, dependable, simple to apply and a good alternative for seeking solutions of nonlinear fractional partial differential equations.
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    New wave solutions of time fractional Kadomtsev-Petviashvili equation arising in the evolution of nonlinear long waves of small amplitude
    (Erzincan Üniversitesi, 2019) Durur, Hülya; Orkun, Taşbozan; Kurt, Ali; Şenol, Mehmet
    The main aim of this paper is to obtain the travelling wave solutions of fractional Kadomtsev- Petviashvili(KP) Equation where the derivative is in conformable sense. For this aim the sub equation method is used with computer software called Mathematica. Then, solutions are investigated through the graphical representation for different cases of D.