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Section B

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

Pages 2998-3006 | Received 06 Nov 2008, Accepted 08 Feb 2009, Published online: 07 Jul 2010
 

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.

2000 AMS Subject Classifications:

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Acknowledgements

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

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