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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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
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spelling doaj-f3e3c19c605f4a8681197fcffeb7f7fe2020-11-25T02:13:38ZengVilnius University PressNonlinear Analysis1392-51132335-89632017-03-0122210.15388/NA.2017.2.4The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equationsManuel De La Sen0Vahid Hedayati1Yasser Gholizade Atani2Shahram Rezapour3Universidad del Pais Vasco, SpainAzarbaijan Shahid Madani University, IranAzarbaijan Shahid Madani University, IranAzarbaijan Shahid Madani University, Iran; China Medical University, Taiwan 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. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13400Chebyshev polynomialsfixed pointLegendre polynomialsnumerical solutionk-dimensional system of multi-term fractional differential equations
collection DOAJ
language English
format Article
sources DOAJ
author Manuel De La Sen
Vahid Hedayati
Yasser Gholizade Atani
Shahram Rezapour
spellingShingle Manuel De La Sen
Vahid Hedayati
Yasser Gholizade Atani
Shahram Rezapour
The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations
Nonlinear Analysis
Chebyshev polynomials
fixed point
Legendre polynomials
numerical solution
k-dimensional system of multi-term fractional differential equations
author_facet Manuel De La Sen
Vahid Hedayati
Yasser Gholizade Atani
Shahram Rezapour
author_sort Manuel De La Sen
title The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations
title_short The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations
title_full The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations
title_fullStr The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations
title_full_unstemmed The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations
title_sort existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2017-03-01
description 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.
topic Chebyshev polynomials
fixed point
Legendre polynomials
numerical solution
k-dimensional system of multi-term fractional differential equations
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13400
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