Approximate Solutions of the Time-Fractional Kadomtsev-Petviashvili Equation with Conformable Derivative

Abstract

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 theconformable sense. The model is solved approximately and the obtained results are compared with exactsolutions 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 partialdifferential equations