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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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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J. Blot, D. Pennequin, Gaston M. N‘Gu´er´ekata, Existence and Uniqueness of Pseudo Almost Automorphic Solutions to Some Classes of Partial Evolution Equations , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
George Leitmann, A Direct Method of Optimization and its Application to a Class of Differential Games , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
N. S. Gopal, J. M. Jonnalagadda, Positive solutions of nabla fractional boundary value problem , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
Ioannis K. Argyros, Saïd Hilout, On the solution of generalized equations and variational inequalities , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
Meriem Djibaoui, Toufik Moussaoui, Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
George A. Anastassiou, Fuzzy Taylor Formulae , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy, On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
George A. Anastassiou, Converse Fractional Opial Inequalities for Several Functions , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
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