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Toward a New Algorithm for Nonlinear Fractional Differential Equations

Published online by Cambridge University Press:  03 June 2015

Fadi Awawdeh  and
S. Abbasbandy
Fadi Awawdeh*
Affiliation:
Department of Mathematics, Hashemite University, Jordan
S. Abbasbandy*
Affiliation:
Department of Mathematics, Imam Khomeini International University, Ghazvin 34149-16818, Iran
*
Email: [email protected]
Corresponding author. Email: [email protected]
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Abstract

This paper is concerned with the development of an efficient algorithm for the analytic solutions of nonlinear fractional differential equations. The proposed algorithm Laplace homotopy analysis method (LHAM) is a combined form of the Laplace transform method with the homotopy analysis method. The biggest advantage the LHAM has over the existing standard analytical techniques is that it overcomes the difficulty arising in calculating complicated terms. Moreover, the solution procedure is easier, more effective and straightforward. Numerical examples are examined to demonstrate the accuracy and efficiency of the proposed algorithm.

Keywords

34A0874G1035C1044A10Homotopy analysis methodLaplace transformfractional differential equations
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 2 , April 2013 , pp. 222 - 234
Copyright
Copyright © Global-Science Press 2013

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