AM  Vol.5 No.1 , January 2014
Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G)-Expansion Method
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.


Cite this paper
M. Younis and A. Zafar, "Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G)-Expansion Method," Applied Mathematics, Vol. 5 No. 1, 2014, pp. 1-6. doi: 10.4236/am.2014.51001.
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