He's homotopy perturbation method for solving the space- and time-fractional telegraph equations

Abstract

In this study, homotopy perturbation method (HPM) is used to obtain analytic and approximate solutions of the space- and time-fractional telegraph equations. The space- and time-fractional derivatives are considered in the Caputo sense. The analytic solutions are calculated in the form of a series with easily computable terms. Some examples are given. The results reveal that HPM is very effective and convenient.

Keywords:

• homotopy perturbation method
• fractional differential equation
• telegraph equation

2000 AMS Subject Classifications:

• 35C05
• 35C10

View correction statement:

Correction

Acknowledgements

The author sincerely thanks the unknown reviewers for their constructive comments and suggestions.