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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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    The exact solutions of conformable fractional partial differential Equations using new sub equation method
    (Fuat USTA, 2019) Kurt, Ali; Taşbozan, Orkun; Durur, Hülya
    In this article, authors employed the new sub equation method to attain new traveling wave solutions of conformable time fractional partial differential equations. Conformable fractional derivative is a well behaved, applicable and understandable definition of arbitrary order derivation. Also this derivative obeys the basic properties that Newtonian concept satisfies. In this study authors obtained the exact solution for KDV equation where the fractional derivative is in conformable sense. New solutions are obtained in terms of the generalized version of the trigonometric functions.
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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.