Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions

In this article, we propose a coupled system of Caputo fractional Hahn difference equations with nonlocal fractional Hahn integral boundary conditions. The existence and uniqueness result of solution for the problem is studied by using the Banach’s fixed point theorem. Furthermore, the existence of...

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Main Authors:	Thongchai Dumrongpokaphan, Nichaphat Patanarapeelert, Thanin Sitthiwirattham
Format:	Article
Language:	English
Published:	MDPI AG 2018-12-01
Series:	Mathematics
Subjects:	fractional Hahn integral Caputo fractional Hahn difference boundary value problems existence
Online Access:	http://www.mdpi.com/2227-7390/7/1/15

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spelling	doaj-7af6e44e075241af9049d6a90dfbe0132020-11-25T00:21:26ZengMDPI AGMathematics2227-73902018-12-01711510.3390/math7010015math7010015Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value ConditionsThongchai Dumrongpokaphan0Nichaphat Patanarapeelert1Thanin Sitthiwirattham2Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty ofScience, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology NorthBangkok, Bangkok 10800, ThailandMathematics Department, Faculty of Science and Technology, Suan Dusit University,Bangkok 10700, ThailandIn this article, we propose a coupled system of Caputo fractional Hahn difference equations with nonlocal fractional Hahn integral boundary conditions. The existence and uniqueness result of solution for the problem is studied by using the Banach’s fixed point theorem. Furthermore, the existence of at least one solution is presented by using the Schauder fixed point theorem.http://www.mdpi.com/2227-7390/7/1/15fractional Hahn integralCaputo fractional Hahn differenceboundary value problemsexistence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Thongchai Dumrongpokaphan Nichaphat Patanarapeelert Thanin Sitthiwirattham
spellingShingle	Thongchai Dumrongpokaphan Nichaphat Patanarapeelert Thanin Sitthiwirattham Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions Mathematics fractional Hahn integral Caputo fractional Hahn difference boundary value problems existence
author_facet	Thongchai Dumrongpokaphan Nichaphat Patanarapeelert Thanin Sitthiwirattham
author_sort	Thongchai Dumrongpokaphan
title	Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions
title_short	Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions
title_full	Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions
title_fullStr	Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions
title_full_unstemmed	Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions
title_sort	existence results of a coupled system of caputo fractional hahn difference equations with nonlocal fractional hahn integral boundary value conditions
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2018-12-01
description	In this article, we propose a coupled system of Caputo fractional Hahn difference equations with nonlocal fractional Hahn integral boundary conditions. The existence and uniqueness result of solution for the problem is studied by using the Banach’s fixed point theorem. Furthermore, the existence of at least one solution is presented by using the Schauder fixed point theorem.
topic	fractional Hahn integral Caputo fractional Hahn difference boundary value problems existence
url	http://www.mdpi.com/2227-7390/7/1/15
work_keys_str_mv	AT thongchaidumrongpokaphan existenceresultsofacoupledsystemofcaputofractionalhahndifferenceequationswithnonlocalfractionalhahnintegralboundaryvalueconditions AT nichaphatpatanarapeelert existenceresultsofacoupledsystemofcaputofractionalhahndifferenceequationswithnonlocalfractionalhahnintegralboundaryvalueconditions AT thaninsitthiwirattham existenceresultsofacoupledsystemofcaputofractionalhahndifferenceequationswithnonlocalfractionalhahnintegralboundaryvalueconditions
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Existence Results of a Coupled System of Caputo Fractional Hahn Difference Equations with Nonlocal Fractional Hahn Integral Boundary Value Conditions

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