Exact solutions of fractional differential equations by using new generalized (G´=G)-expansion method

Abstract

In this thesis, Exact Solutions of fractional differential equations by using (G'/G)- Expansion Method the nonlinear partial fractional differential equations are renewed to the nonlinear ordinary differential equations by using the fractional complex transformation. We apply the extended (G´=G)-expansion method to generate travelling wave solutions to the time and space fractional derivative nonlinear KdV equation. The obtained solutions reveal that the extended (G´=G)-expansion method is very effcient and competent mathematical tool for generating abundant solutions and can be used world class of nonlinear evolution fractional order equations.