Homogeneous balance method and its applications to nonlinear fractional equations

In this paper we discuss the efficiency of the homogeneous balance method to construct the exact analytical solutions of the nonlinear space-time fractional equations. The homogeneous balance method is considered for application to the space-time fractional equations. These solutions include the generalized trigonometric function solutions, generalized hyperbolic function solutions, and rational function solutions, which they are benefit to further understand the concepts of the complicated nonlinear physical phenomena and fractional differential equations. In this work we use Mathematica for computations and programming