The extended fractional \((D_\xi^\alpha G / G)\)-expansion method and its applications to a space-time fractional Fokas equation (Q1993195)

Summary: Based on a fractional subequation and the properties of the modified Riemann-Liouville fractional derivative, we propose a new analytical method named extended fractional \((D_\xi^\alpha G / G)\)-expansion method for seeking traveling wave solutions of fractional partial differential equations. To illustrate the effectiveness of the method, we discuss a space-time fractional Fokas equation, many types of exact analytical solutions are obtained, and the solutions include hyperbolic function and trigonometric and negative exponential solutions.