An analytical approach to the fractional foam drainage equation

Abstract

In this study, we used the variational iteration method and the homotopy perturbation method to give a rational approximation solutions of the foam drainage equation with time- and space- fractional derivatives. The fractional derivatives are described in the Caputo sense. Numerical examples are given to demonstrate the effectiveness of the present methods. Results show that the proposed schemes are very effective and convenient for solving lineaer and nonlinear fractional differential equations with high accuracy.