Approximate analytical solutions of generalized fractional Korteweg-de Vries equation

Abstract

In this paper, a generalized Korteweg-de Vries equation involving a temporal fractional derivative and a spatial fractal derivative is studied. The temporal fractional derivative can describe the non-local property and memory property, while the spatial fractal derivative can model the space discontinuity. Its approximate analytical solution is presented using He?s variational iteration method, which is extremely effective for the fractal-fractional differential equations.