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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.

applied mathematics

Exact Solution to Nonlinear Differential Equations of Fractional Order via (&amp;lt;i&amp;gt;G’&amp;lt;/i&amp;gt;/&amp;lt;i&amp;gt;G&amp;lt;/i&amp;gt;)-Expansion Method