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

Downloads

PDF

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

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

Similar Articles

Aparajita Dasgupta, M.W. Wong, The semigroup and the inverse of the Laplacian on the Heisenberg group , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
Fatima Fennour, Soumia Saïdi, On a class of evolution problems driven by maximal monotone operators with integral perturbation , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
Qikeng Lu, Global Solutions of Yang-Mills Equation , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
Xavier Antoine, Christophe Besse, Jérémie Szeftel, Towards accurate artificial boundary conditions for nonlinear PDEs through examples , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
Cong He, Jingchun Chen, Vlasov-Poisson equation in weighted Sobolev space \(W^{m, p}(w)\) , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
Fujisaki Masatoshi, Nonlinear semigroup associated with maximizing operator and large deviation , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
M. H. Farag, T. A. Talaat, E. M. Kamal, Existence and uniqueness solution of a class of quasilinear parabolic boundary control problems , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
Martin Bohner, Julius Heim, Ailian Liu, Solow models on time scales , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
Youssef N. Raffoul, Boundedness and stability in nonlinear systems of differential equations using a modified variation of parameters formula , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)

<< < 6 7 8 9 10 11 12 13 14 15 16 17 > >>

You may also start an advanced similarity search for this article.

Downloads

Download data is not yet available.

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.

Download Citation

Issue

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

Section

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

Similar Articles

Aparajita Dasgupta, M.W. Wong, The semigroup and the inverse of the Laplacian on the Heisenberg group , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
Fatima Fennour, Soumia Saïdi, On a class of evolution problems driven by maximal monotone operators with integral perturbation , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
Qikeng Lu, Global Solutions of Yang-Mills Equation , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
Xavier Antoine, Christophe Besse, Jérémie Szeftel, Towards accurate artificial boundary conditions for nonlinear PDEs through examples , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
Cong He, Jingchun Chen, Vlasov-Poisson equation in weighted Sobolev space \(W^{m, p}(w)\) , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
Fujisaki Masatoshi, Nonlinear semigroup associated with maximizing operator and large deviation , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
M. H. Farag, T. A. Talaat, E. M. Kamal, Existence and uniqueness solution of a class of quasilinear parabolic boundary control problems , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
Martin Bohner, Julius Heim, Ailian Liu, Solow models on time scales , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
Youssef N. Raffoul, Boundedness and stability in nonlinear systems of differential equations using a modified variation of parameters formula , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)

<< < 6 7 8 9 10 11 12 13 14 15 16 17 > >>

You may also start an advanced similarity search for this article.