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

M. H. Saleh nsae191088@yahoo.com
S. M. Amer nsae191088@yahoo.com
M. A. Mohamed nsae191088@yahoo.com
N. S. Abdelrhman nsae191088@yahoo.com

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DOI:

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

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.

Keywords

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

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.

Pages: 89-103
Date Published: 2013-10-01
Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal

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M. H. Saleh, S. M. Amer, M. H. Ahmed, The method of Kantorovich majorants to nonlinear singular integral equations with Hilbert Kernel , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal

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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.

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Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal

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Articles

Most read articles by the same author(s)

M. H. Saleh, S. M. Amer, M. H. Ahmed, The method of Kantorovich majorants to nonlinear singular integral equations with Hilbert Kernel , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal

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Mouffak Benchohra, Omar Bennihi, Khalil Ezzinbi, Existence Results for Some Neutral Partial Functional Differential Equations of Fractional order with State-Dependent Delay , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
Aurelian Cernea, On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
Masaru Ikehata, Inverse Crack Problem and Probe Method , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
A. Bultheel, H. Mart´Ä±nez, An introduction to the Fractional Fourier Transform and friends , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
Michael Holm, Sum and Difference Compositions in Discrete Fractional Calculus , CUBO, A Mathematical Journal: Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal
George A. Anastassiou, Foundations of generalized Prabhakar-Hilfer fractional calculus with applications , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
William Greenberg, Michael Williams, Global Solutions of the Enskog Lattice Equation with Square Well Potential , CUBO, A Mathematical Journal: Vol. 9 No. 1 (2007): CUBO, A Mathematical Journal
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Ioannis K. Argyros, Santhosh George, Ball comparison between Jarratt‘s and other fourth order method for solving equations , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
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You may also start an advanced similarity search for this article.