Variational iteration method for fractional calculus - A universal approach by Laplace transform

Abstract

A novel modification of the variational iteration method (VIM) is proposed by means of the Laplace transform. Then the method is successfully extended to fractional differential equations. Several linear fractional differential equations are analytically solved as examples and the methodology is demonstrated. MSC: 39A08, 65K10, 34A12. © 2013 Wu and Baleanu; licensee Springer.