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Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G)-Expansion Method

DOI: 10.4236/am.2014.51001    8,229 Downloads   19,238 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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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