A k-Dimensional System of Fractional Finite Difference Equations

We investigate the existence of solutions for a k-dimensional system of fractional finite difference equations by using the Kranoselskii’s fixed point theorem. We present an example in order to illustrate our results.

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Main Authors: Dumitru Baleanu, Shahram Rezapour, Saeid Salehi
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/312578
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author Dumitru Baleanu
Shahram Rezapour
Saeid Salehi
author_facet Dumitru Baleanu
Shahram Rezapour
Saeid Salehi
author_sort Dumitru Baleanu
collection DOAJ
description We investigate the existence of solutions for a k-dimensional system of fractional finite difference equations by using the Kranoselskii’s fixed point theorem. We present an example in order to illustrate our results.
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institution Kabale University
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language English
publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-41afe0ebf3ce41bfb866dd1f9d23468d2025-02-03T06:11:40ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/312578312578A k-Dimensional System of Fractional Finite Difference EquationsDumitru Baleanu0Shahram Rezapour1Saeid Salehi2Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Azarbaijan Shahid Madani University, Azarshahr, Tabriz, IranDepartment of Mathematics, Azarbaijan Shahid Madani University, Azarshahr, Tabriz, IranWe investigate the existence of solutions for a k-dimensional system of fractional finite difference equations by using the Kranoselskii’s fixed point theorem. We present an example in order to illustrate our results.http://dx.doi.org/10.1155/2014/312578
spellingShingle Dumitru Baleanu
Shahram Rezapour
Saeid Salehi
A k-Dimensional System of Fractional Finite Difference Equations
Abstract and Applied Analysis
title A k-Dimensional System of Fractional Finite Difference Equations
title_full A k-Dimensional System of Fractional Finite Difference Equations
title_fullStr A k-Dimensional System of Fractional Finite Difference Equations
title_full_unstemmed A k-Dimensional System of Fractional Finite Difference Equations
title_short A k-Dimensional System of Fractional Finite Difference Equations
title_sort k dimensional system of fractional finite difference equations
url http://dx.doi.org/10.1155/2014/312578
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AT shahramrezapour akdimensionalsystemoffractionalfinitedifferenceequations
AT saeidsalehi akdimensionalsystemoffractionalfinitedifferenceequations
AT dumitrubaleanu kdimensionalsystemoffractionalfinitedifferenceequations
AT shahramrezapour kdimensionalsystemoffractionalfinitedifferenceequations
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