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

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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.

Issue

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

Section

Articles

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