Elzaki transform combined with variational iteration method for partial differential equations of fractional order

Abstract

The idea, which will be communicated through this paper is to make a change to the proposed method by Tarig M. Elzaki [6] and we extend it to solve nonlinear partial differential equations with time-fractional derivative. This document also includes illustrative examples show us how to apply this method, we also show the interest of combining these two methods is the speed of the calculates the terms, and not calculating the Lagrange multipliers.