Numerical Solution of Fractional Integro-Differential Equations by Least Squares Method and Shifted Chebyshev Polynomial-Reference-Cited by-同舟云学术

Numerical Solution of Fractional Integro-Differential Equations by Least Squares Method and Shifted Chebyshev Polynomial

Published:2014 Issue: Volume:2014 Page:1-5
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Mohammed D. Sh.¹

Affiliation:

1. Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt

Abstract

We investigate the numerical solution of linear fractional integro-differential equations by least squares method with aid of shifted Chebyshev polynomial. Some numerical examples are presented to illustrate the theoretical results.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2014/431965.pdf

Reference23 articles.

1. A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals

2. SPECTRAL-COLLOCATION METHOD FOR FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

3. The operational matrix of fractional integration for shifted Chebyshev polynomials

4. Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations

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