Variational iteration method combined with new transform to solve fractional partial differential equations

Abstract

The aim of this paper is to combined the variational iteration method with Aboodh transform method to solve linear and nonlinear fractional partial differential equations. Some illustrative examples are given as the linear and nonlinear fractional Klein-Gordon equations and the time fractional diffusion equation. The results reveal that this method is very effective, simple and can be applied to other physical differential equations with fractional order. The fractional derivative is taken in the Caputo sense.

Keywords

• caputo fractional derivative
• variational iteration method
• aboodh transform
• klein-gordon equation
• diffusion equation.