A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method

In this article, the modified simple equation method has been extended to celebrate the exact so-lutions of nonlinear partial time-space differential equations of fractional order. Firstly, the frac-tional complex transformation has been implemented to convert nonlinear partial fractional dif-ferential equations into nonlinear ordinary differential equations. Afterwards, modified simple equation method has been implemented, to find the exact solutions of these equations, in the sense of modified Riemann-Liouville derivative. For applications, the exact solutions of time-space fractional derivative Burgers ’ equation and time-space fractional derivative foam drainage equa-tion have been discussed. Moreover, it can also be concluded that the proposed method is easy, direct and concise as compared to other existing methods