IJPAM: Volume 95, No. 3 (2014)

LAPLACE VARIATIONAL ITERATION METHOD FOR
INTEGRO-DIFFERENTIAL EQUATIONS OF
FRACTIONAL ORDER

Toheeb A. Biala$^1$, Yusuf O. Afolabi$^2$, Oladapo O. Asim$^3$
$^1$Department of Mathematics
University of Ilorin
P.M.B. 1515 Ilorin, NIGERIA
$^2$Department of Mathematics
Sokoto State University
P.M.B. 2134 Airport Road, Sokoto, NIGERIA
$^3$Department of Mathematics and Physics
Osun State University
Osogbo, NIGERIA


Abstract. Fractional Integro-Differential Equations (FIDEs) arise in the mathematical modelling of physical phenomena and play an important role in various branches of science and engineering. With He's variational iteration method, it is possible to obtain exact or better approximate solutions of differential equations. This paper is concerned with the solution of FIDEs by the variational iteration method via the Laplace transform. In this approach, a correction functional is constructed by a general Lagrange multiplier, which is determined by using the Laplace transform with the variational theory. The results of applying this method to the studied FIDEs show the high accuracy, simplicity and efficiency of the approach.

Received: April 27, 2014

AMS Subject Classification: 65L03, 45J05

Key Words and Phrases: variational iteration method, Laplace transform, integro-differential equation, fractional calculus, Lagrange multiplier

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DOI: 10.12732/ijpam.v95i3.9 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 95
Issue: 3
Pages: 413 - 426


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