The Extended Fractional (DξαGG)‎-Expansion Method and Its Applications to a Space-Time Fractional Fokas Equation

Abstract EN

Based on a fractional subequation and the properties of the modified Riemann-Liouville fractional derivative, we propose a new analytical method named extended fractional (DξαG/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.