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

DOI: 10.4236/am.2014.51001, PP. 1-6

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

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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.

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