Analytical solutions of some nonlinear fractional-order differential equations by different methods

Abstract

In this work, we investigate exact solutions of some fractional-order differential equations arising in mathematical physics. We consider the space-time fractional Kaup-Kupershmidt, the space-time fractional Fokas, and the space-time fractional breaking soliton equations, which have important applications in science and engineering. Exact traveling wave solutions of these equations have been established by different efficient methods. © 2020 John Wiley & Sons, Ltd.