On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equation

On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equation

In this paper, we propose a boundary value problems for fractional symmetric Hahn integrodifference equation. The problem contains two fractional symmetric Hahn difference operators and three fractional symmetric Hahn integral with different numbers of order. The existence and uniqueness result of p...

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Main Authors: Nichaphat Patanarapeelert, Thanin Sitthiwiratthame
Format: Article
Language:English
Published: AIMS Press 2020-05-01
Series:AIMS Mathematics
Subjects:
fractional symmetric hahn integral
riemann-liouville fractional symmetric hahn difference
boundary value problems
existence
Online Access:https://www.aimspress.com/article/10.3934/math.2020231/fulltext.html
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spelling doaj-ce181822528e44b2ace6dc61ada32b452020-11-25T02:20:14ZengAIMS PressAIMS Mathematics2473-69882020-05-01543556357210.3934/math.2020231On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equationNichaphat Patanarapeelert0Thanin Sitthiwiratthame11 Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand2 Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, ThailandIn this paper, we propose a boundary value problems for fractional symmetric Hahn integrodifference equation. The problem contains two fractional symmetric Hahn difference operators and three fractional symmetric Hahn integral with different numbers of order. The existence and uniqueness result of problem is studied by using the Banach fixed point theorem. The existence of at least one solution is also studied, by using Schauder’s fixed point theorem.https://www.aimspress.com/article/10.3934/math.2020231/fulltext.htmlfractional symmetric hahn integralriemann-liouville fractional symmetric hahn differenceboundary value problemsexistence
collection DOAJ
language English
format Article
sources DOAJ
author Nichaphat Patanarapeelert
Thanin Sitthiwiratthame
spellingShingle Nichaphat Patanarapeelert
Thanin Sitthiwiratthame
On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equation
AIMS Mathematics
fractional symmetric hahn integral
riemann-liouville fractional symmetric hahn difference
boundary value problems
existence
author_facet Nichaphat Patanarapeelert
Thanin Sitthiwiratthame
author_sort Nichaphat Patanarapeelert
title On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equation
title_short On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equation
title_full On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equation
title_fullStr On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equation
title_full_unstemmed On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equation
title_sort on nonlocal fractional symmetric hanh integral boundary value problems for fractional symmetric hahn integrodifference equation
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2020-05-01
description In this paper, we propose a boundary value problems for fractional symmetric Hahn integrodifference equation. The problem contains two fractional symmetric Hahn difference operators and three fractional symmetric Hahn integral with different numbers of order. The existence and uniqueness result of problem is studied by using the Banach fixed point theorem. The existence of at least one solution is also studied, by using Schauder’s fixed point theorem.
topic fractional symmetric hahn integral
riemann-liouville fractional symmetric hahn difference
boundary value problems
existence
url https://www.aimspress.com/article/10.3934/math.2020231/fulltext.html
work_keys_str_mv AT nichaphatpatanarapeelert onnonlocalfractionalsymmetrichanhintegralboundaryvalueproblemsforfractionalsymmetrichahnintegrodifferenceequation
AT thaninsitthiwiratthame onnonlocalfractionalsymmetrichanhintegralboundaryvalueproblemsforfractionalsymmetrichahnintegrodifferenceequation
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