$Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions$

Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions

Abstract In this article, we study a coupled system of singular fractional difference equations with fractional sum boundary conditions. A sufficient condition of the existence of positive solutions is established by employing the upper and lower solutions of the system and using Schauder’s fixed po...

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Main Authors:	Chanon Promsakon, Saowaluck Chasreechai, Thanin Sitthiwirattham
Format:	Article
Language:	English
Published:	SpringerOpen 2019-03-01
Series:	Advances in Difference Equations
Subjects:	Positive solution Singularity Fractional difference equations Boundary value problem
Online Access:	http://link.springer.com/article/10.1186/s13662-019-2069-5

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spelling	doaj-d23964af659d443d82284b223f1e8c252020-11-25T02:25:04ZengSpringerOpenAdvances in Difference Equations1687-18472019-03-012019112210.1186/s13662-019-2069-5Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditionsChanon Promsakon0Saowaluck Chasreechai1Thanin Sitthiwirattham2Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North BangkokDepartment of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North BangkokMathematics Department, Faculty of Science and Technology, Suan Dusit UniversityAbstract In this article, we study a coupled system of singular fractional difference equations with fractional sum boundary conditions. A sufficient condition of the existence of positive solutions is established by employing the upper and lower solutions of the system and using Schauder’s fixed point theorem. Finally, we provide an example to illustrate our results.http://link.springer.com/article/10.1186/s13662-019-2069-5Positive solutionSingularityFractional difference equationsBoundary value problem
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Chanon Promsakon Saowaluck Chasreechai Thanin Sitthiwirattham
spellingShingle	Chanon Promsakon Saowaluck Chasreechai Thanin Sitthiwirattham Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions Advances in Difference Equations Positive solution Singularity Fractional difference equations Boundary value problem
author_facet	Chanon Promsakon Saowaluck Chasreechai Thanin Sitthiwirattham
author_sort	Chanon Promsakon
title	Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions
title_short	Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions
title_full	Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions
title_fullStr	Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions
title_full_unstemmed	Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions
title_sort	existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2019-03-01
description	Abstract In this article, we study a coupled system of singular fractional difference equations with fractional sum boundary conditions. A sufficient condition of the existence of positive solutions is established by employing the upper and lower solutions of the system and using Schauder’s fixed point theorem. Finally, we provide an example to illustrate our results.
topic	Positive solution Singularity Fractional difference equations Boundary value problem
url	http://link.springer.com/article/10.1186/s13662-019-2069-5
work_keys_str_mv	AT chanonpromsakon existenceofpositivesolutiontoacoupledsystemofsingularfractionaldifferenceequationsviafractionalsumboundaryvalueconditions AT saowaluckchasreechai existenceofpositivesolutiontoacoupledsystemofsingularfractionaldifferenceequationsviafractionalsumboundaryvalueconditions AT thaninsitthiwirattham existenceofpositivesolutiontoacoupledsystemofsingularfractionaldifferenceequationsviafractionalsumboundaryvalueconditions
_version_	1724852915443597312

Existence of positive solution to a coupled system of singular fractional difference equations via fractional sum boundary value conditions

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