alexa Laplace Homotopy Perturbation Method (LHAM) to Fractional Oscillation Equations | OMICS International
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Research Article

Laplace Homotopy Perturbation Method (LHAM) to Fractional Oscillation Equations

Arafa AAM*

Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt

*Corresponding Author:
Arafa AAM
Department of Mathematics
Faculty of Science, Port Said University
Port Said, Egypt
Tel: +20 66 3402344
E-mail: [email protected]

Received Date: December 03, 2016 Accepted Date: December 23, 2016 Published Date: December 30, 2016

Citation: Arafa AAM (2016) Laplace Homotopy Perturbation Method (LHAM) to Fractional Oscillation Equations. J Appl Computat Math 5: 336. doi: 10.4172/2168- 9679.1000336

Copyright: © 2016 Arafa AAM. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

In this paper, Laplace Homotopy perturbation method (LHAM) is used to find the approximate solution of the fractional Oscillation equations. The fractional derivatives are described in the Caputo sense. We compare the exact solutions with our results without fractional derivatives. The resulting solutions spread faster than the classical solutions and may exhibit asymmetry, depending on the fractional derivative used. Numerical results are demonstrated the accuracy, efficiency and high rate of convergence of this method.

Keywords

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