The (G′/G)-expansion method for the nonlinear time fractional differential equations

Abstract

In this paper, we obtain exact solutions of two time fractional differential equations using Jumarie's modified Riemann-Liouville derivative which is encountered in mathematical physics and applied mathematics; namely (3 + 1)-dimensional time fractional KdV-ZK equation and time fractional ADR equation by using fractional complex transform and (G'/G)-expansion method. It is shown that the considered transform and method are very useful in solving nonlinear fractional differential equations.