Exp-Function Method and Fractional Complex Transform for Space-Time Fractional KP-BBM Equation

In the present article, He's fractional derivative, the ansatz method, the (G' / G)-expansion method, and the exp-function method are used to construct the exact solutions of nonlinear space-time fractional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM). As a result, different types of exact solutions are obtained. Also we have examined the relation between the solutions obtained from the different methods. These methods are an efficient mathematical tool for solving fractional differential equations (FDEs) and it can be applied to other nonlinear FDEs.