Approximate solution of fractional integro-differential equation by Taylor expansion and Legendre wavelets methods

 

M.H. Saleh, S.M. Amer, M.A. Mohamed and N.S. Abdelrhman

Mathematics Department, Faculty of Science, Suez canal University, Egypt Ismailia,. nsae191088@yahoo.com

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ABSTRACT

This paper, deals with the approximate solution of fractional integro-differential equations of the type

t I = [0,1]

by Taylor expansion and Legendre wavelet methods.In addition, illustrative example are presented to demonstrate the efficiency and accuracy of this methods.

Keywords and Phrases: Fractional integro-differential equation, Caputo fractional derivative, Taylor expansion method, Legendre wavelets method.

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RESUMEN

Este artículo considera la solución aproximada de ecuaciones integro-diferenciales fraccionales del tipo

t I = [0,1]

por expansiones de Taylor y métodos de Ondeletas de Legendre. Además, un ejemplo ilustrativo se presenta para mostrar la eficiencia y precisión de este método.

2010 AMS Mathematics Subject Classication: 45B05 , 45Bxx , 65R10.

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Received: March 2013 / Accepted: September 2013.