Approximate solutions of fractional non-linear evolution equations

Abstract

A novel method which is based on variational iteration method, Laplace transform, and homotopy perturbation method is proposed, and this new method is applied to obtain the approximate solution of the fractional non-linear Boussinessq-type equation. The fractional Lagrange multiplier is accurately determined by the Laplace transform and the non-linear term can be easily handled by He?s polynomials. The result demonstrates accuracy and fast convergence of this new algorithm.