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

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
Yavar Kian, Local energy decay for the wave equation with a time-periodic non-trapping metric and moving obstacle , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
F. Brackx, H. De Schepper, V. Soucek, Differential forms versus multi-vector functions in Hermitean Clifford analysis , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
Raoudha Laffi, Some inequalities associated with a partial differential operator , CUBO, A Mathematical Journal: Vol. 27 No. 3 (2025)
Seyed Mostafa Sajjadi, Ghasem Alizadeh Afrouzi, On a class of fractional \(p(x,y)-\)Kirchhoff type problems with indefinite weight , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
Kaïs Ammari, Georgi Vodev, Boundary Stabilization of the Transmission Problem for the Bernoulli-Euler Plate Equation , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
Shwet Nisha, P. K. Parida, Super-Halley method under majorant conditions in Banach spaces , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
George A. Anastassiou, Poincar´e Type Inequalities for Linear Differential Operators , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
Gradimir V. MilovanoviÄ‡, Abdullah Mir, Adil Hussain, Estimates for the polar derivative of a constrained polynomial on a disk , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)

<< < 7 8 9 10 11 12 13 14 15 16 17 18 > >>

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

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
Yavar Kian, Local energy decay for the wave equation with a time-periodic non-trapping metric and moving obstacle , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
F. Brackx, H. De Schepper, V. Soucek, Differential forms versus multi-vector functions in Hermitean Clifford analysis , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
Raoudha Laffi, Some inequalities associated with a partial differential operator , CUBO, A Mathematical Journal: Vol. 27 No. 3 (2025)
Seyed Mostafa Sajjadi, Ghasem Alizadeh Afrouzi, On a class of fractional \(p(x,y)-\)Kirchhoff type problems with indefinite weight , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
Kaïs Ammari, Georgi Vodev, Boundary Stabilization of the Transmission Problem for the Bernoulli-Euler Plate Equation , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
Shwet Nisha, P. K. Parida, Super-Halley method under majorant conditions in Banach spaces , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
George A. Anastassiou, Poincar´e Type Inequalities for Linear Differential Operators , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
Gradimir V. MilovanoviÄ‡, Abdullah Mir, Adil Hussain, Estimates for the polar derivative of a constrained polynomial on a disk , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)

<< < 7 8 9 10 11 12 13 14 15 16 17 18 > >>

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