A new method for solving nonlinear fractional differential equations

Abstract

In this paper, a new extended Kudryashov method for solving fractional nonlinear differential equations is proposed. The fractional derivative in this paper is considered in the sense of modified Riemann-Liouville. We also handle the time-fractional fifthorder SawadaKotera equation and the time-fractional generalized HirotaSatsuma coupled KdV equation to illustrate the the simplicity and the effectiveness of this method. Solutions of these equations are obtained in analytical traveling wave solution form including hyperbolic and trigonometric functions.