Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem

The existence of solutions of nonlocal fractional symmetric Hahn integrodifference boundary value problem is studied. We propose a problem of five fractional symmetric Hahn difference operators and three fractional symmetric Hahn integrals of different orders. We first convert our nonlinear problem...

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Autores principales:	Rujira Ouncharoen, Nichaphat Patanarapeelert, Thanin Sitthiwirattham
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	fractional symmetric Hahn boundary value problems existence fixed point theorem Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/ed8543367a904543a1caaf5111ea842e
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spelling	oai:doaj.org-article:ed8543367a904543a1caaf5111ea842e2021-11-25T19:07:20ZExistence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem10.3390/sym131121742073-8994https://doaj.org/article/ed8543367a904543a1caaf5111ea842e2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2174https://doaj.org/toc/2073-8994The existence of solutions of nonlocal fractional symmetric Hahn integrodifference boundary value problem is studied. We propose a problem of five fractional symmetric Hahn difference operators and three fractional symmetric Hahn integrals of different orders. We first convert our nonlinear problem into a fixed point problem by considering a linear variant of the problem. When the fixed point operator is available, Banach and Schauder’s fixed point theorems are used to prove the existence results of our problem. Some properties of <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mi>q</mi><mo>,</mo><mo>ω</mo><mo>)</mo></mrow></semantics></math></inline-formula>-integral are also presented in this paper as a tool for our calculations. Finally, an example is also constructed to illustrate the main results.Rujira OuncharoenNichaphat PatanarapeelertThanin SitthiwiratthamMDPI AGarticlefractional symmetric Hahnboundary value problemsexistencefixed point theoremMathematicsQA1-939ENSymmetry, Vol 13, Iss 2174, p 2174 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fractional symmetric Hahn boundary value problems existence fixed point theorem Mathematics QA1-939
spellingShingle	fractional symmetric Hahn boundary value problems existence fixed point theorem Mathematics QA1-939 Rujira Ouncharoen Nichaphat Patanarapeelert Thanin Sitthiwirattham Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem
description	The existence of solutions of nonlocal fractional symmetric Hahn integrodifference boundary value problem is studied. We propose a problem of five fractional symmetric Hahn difference operators and three fractional symmetric Hahn integrals of different orders. We first convert our nonlinear problem into a fixed point problem by considering a linear variant of the problem. When the fixed point operator is available, Banach and Schauder’s fixed point theorems are used to prove the existence results of our problem. Some properties of <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mi>q</mi><mo>,</mo><mo>ω</mo><mo>)</mo></mrow></semantics></math></inline-formula>-integral are also presented in this paper as a tool for our calculations. Finally, an example is also constructed to illustrate the main results.
format	article
author	Rujira Ouncharoen Nichaphat Patanarapeelert Thanin Sitthiwirattham
author_facet	Rujira Ouncharoen Nichaphat Patanarapeelert Thanin Sitthiwirattham
author_sort	Rujira Ouncharoen
title	Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem
title_short	Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem
title_full	Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem
title_fullStr	Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem
title_full_unstemmed	Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem
title_sort	existence results of a nonlocal fractional symmetric hahn integrodifference boundary value problem
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/ed8543367a904543a1caaf5111ea842e
work_keys_str_mv	AT rujiraouncharoen existenceresultsofanonlocalfractionalsymmetrichahnintegrodifferenceboundaryvalueproblem AT nichaphatpatanarapeelert existenceresultsofanonlocalfractionalsymmetrichahnintegrodifferenceboundaryvalueproblem AT thaninsitthiwirattham existenceresultsofanonlocalfractionalsymmetrichahnintegrodifferenceboundaryvalueproblem
_version_	1718410314648649728

Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem

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