New analytical solutions for space and time fractional Phi-4 equation

Abstract

In this paper, by utilizing an analytical method based on the Jacobi elliptic functions, the largest set in the literature of time, space and space-time conformable fractional Phi-4 equations is found. These solutions are obtained in general form including rational, trigonometric, hyperbolic and complex functions. Four problems are presented to illustrate the application of the method and some of the solutions are also demonstrated by the graphics.