Solving the Space-time Fractional Burger’s and the Fifth-order Sawda-Kotera Equations Using the Fractional Sub-equation Method

In this paper, a fractional sub-equation method is proposed for finding exact solutions of the space–time fractional Burger’s equation and the space-time fractional fifth-order Sawda-Kotera equation. The derivative is defined in the Jumarie’s modified Riemann-Liouville sense. The proposed method is based on fractional Riccati’s equation. Accordingly, it was obtained three different exact solutions, namely the generalized hyperbolic function solutions, generalized trigonometric function solutions and rational solutions. The proposed scheme can also be applied to other nonlinear fractional partial differential equations.