TITLE:
Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G)-Expansion Method
AUTHORS:
Muhammad Younis, Asim Zafar
KEYWORDS:
Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G)-Expansion Method
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.1,
December
25,
2013
ABSTRACT: In this article, a new application to find the exact solutions of nonlinear partial time-space fractional differential Equation has been discussed. Firstly, the fractional complex transformation has been implemented to convert nonlinear partial fractional differential Equations into nonlinear ordinary differential Equations. Afterwards, the (G'/G)-expansion method has been implemented, to celebrate the exact solutions of these Equations, in the sense of modified Riemann-Liouville derivative. As application, the exact solutions of time-space fractional Burgers’ Equation have been discussed.