Solution of Nonlinear Space–time Fractional Differential Equation via the Triple Fractional Riccati Expansion Method

In this paper, the triple fractional Riccati expansion method is applied to solve fractional differential equation. To illustrate the effectiveness of the method, the nonlinear space-time fractional Klein–Gordon equation is studied. The obtained solutions include generalized trigonometric and hyperbolic function solutions. Among these solutions, some are found for the first time.