Analytical Solutions of Some Nonlinear Space-Time Fractional Differential Equations via Improved Exp-Function Method

Abstract

In this paper, the improved exp-function method is proposed to solve fractional differential equations. The method is applied to solve the space-time fractional Kaup–Kupershmidt equation, space-time fractional shallow water equation, and space-time fractional Boussinesq equation. Among these solutions, some are found for the first time.