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

M. H. Saleh; S. M. Amer; M. A. Mohamed; N. S. Abdelrhman

doi:10.4067/S0719-06462013000300009

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

Authors

M. H. Saleh Mathematics Department, Faculty of Science, Suez canal University, Ismailia, Egypt.
S. M. Amer Mathematics Department, Faculty of Science, Suez canal University, Ismailia, Egypt.
M. A. Mohamed Mathematics Department, Faculty of Science, Suez canal University, Ismailia, Egypt.
N. S. Abdelrhman Mathematics Department, Faculty of Science, Suez canal University, Ismailia, Egypt.

DOI:

https://doi.org/10.4067/S0719-06462013000300009

Keywords:

Fractional integro-differential equation, Caputo fractional derivative, Taylor expansion method, Legendre wavelets method

Abstract

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

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

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Published

2013-10-01

How to Cite

[1]

M. H. Saleh, S. M. Amer, M. A. Mohamed, and N. S. Abdelrhman, “Approximate solution of fractional integro-differential equation by Taylor expansion and Legendre wavelets methods”, CUBO, vol. 15, no. 3, pp. 89–103, Oct. 2013.