The First Integral Method for Time-Space Fractional Differential Equations

In this letter, the first integral method has been successfully employed to construct the exact solutions of timespace fractional differential equations. For this purpose, the fractional complex transformation helps to convert time-space fractional differential equations into nonlinear ordinary differential equations with the help of modified Riemann-Liouville derivatives. Then the obtained equations can be handled by the so-called first integral method to celebrate the exact solutions. The power of this new approach has been shown by constructing the exact solutions for a class of time-space fractional differential equations. It can also be concluded that the proposed method is concise to get the solutions.