Author(s)

Amr M. S. Mahdy¹, Adel S. Mohamed¹, Ahmad A. H. Mtawa²

¹Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt.
²Department of Mathematics, Faculty of Science, Benghize University, Almarj, Libya.

This paper extends the homotopy perturbation Sumudu transform method (HPSTM) to solve linear and nonlinear fractional Klein-Gordon equations. To illustrate the reliability of the method, some examples are presented. The convergence of the HPSTM solutions to the exact solutions is shown. As a novel application of homotopy perturbation sumudu transform method, the presented work showed some essential difference with existing similar application four classical examples also highlighted the significance of this work.

Mittag-Leffler Functions, Caputo Derivative, Sumudu Transform, Homotopy Perturbation Method, Klein-Gordon Equation

Mahdy, A. , Mohamed, A. and Mtawa, A. (2015) Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation. Applied Mathematics, 6, 617-628. doi: 10.4236/am.2015.63056.