The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations

The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations

First, we investigate the existence and uniqueness of solution for a k-dimensional system of multi-term fractional integro-differential equations. Also, we apply shifted Chebyshev and shifted Legendre polynomials to obtain an approximation solution for the k-dimensional system. Finally, we provide...

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Bibliographic Details
Main Authors: Manuel De La Sen, Vahid Hedayati, Yasser Gholizade Atani, Shahram Rezapour
Format: Article
Language:English
Published: Vilnius University Press 2017-03-01
Series:Nonlinear Analysis
Subjects:
Chebyshev polynomials
fixed point
Legendre polynomials
numerical solution
k-dimensional system of multi-term fractional differential equations
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13400
Description
Summary:First, we investigate the existence and uniqueness of solution for a k-dimensional system of multi-term fractional integro-differential equations. Also, we apply shifted Chebyshev and shifted Legendre polynomials to obtain an approximation solution for the k-dimensional system. Finally, we provide some examples illustrating the presented methods.
ISSN:1392-5113
2335-8963

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