An Approximation to Solution of Space and Time Fractional Telegraph Equations by He′s Variational Iteration Method

Ali Sevimlican

doi:10.1155/2010/290631

Abstract

He′s variational iteration method (VIM) is used for solving space and time fractional telegraph equations. Numerical examples are presented in this paper. The obtained results show that VIM is effective and convenient.

Highlights

There has been a great deal of interest in fractional differential equations since there have been a wide variety of applications in physics and engineering
In the papers by Momani 5 and Yildirim 6, Adomian decomposition method ADM and homotopy perturbation method HPM were used for solving the space and time fractional telegraph equations, respectively
The main objective of the present paper is to extend the application of the variational iteration method VIM to obtain approximate solution of the space and time fractional telegraph equations

Summary

Introduction

There has been a great deal of interest in fractional differential equations since there have been a wide variety of applications in physics and engineering. In this paper we will use variational iteration method VIM for solving the space and time fractional telegraph equations. The variational iteration method VIM which was developed in 1999 by He 8 has been applied to a wide variety of differential equations by many authors. He 9 used the variational iteration method VIM for solving seepage flow with fractional derivatives in porous media. The main objective of the present paper is to extend the application of the variational iteration method VIM to obtain approximate solution of the space and time fractional telegraph equations

He’s Variational Iteration Method

Space and Time Fractional Derivatives in Caputo Sense

Application to Space-Time Fractional Telegraph Equations

Numerical Examples

Conclusion