On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations

On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations

Abstract The aim of this work is to study a nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equation. The problem contains two fractional Hahn difference operators and a fractional Hahn integral with different numbers of order. We use the Banach fixe...

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Main Authors: Nichaphat Patanarapeelert, Tanapat Brikshavana, Thanin Sitthiwirattham
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:Boundary Value Problems
Subjects:
fractional Hahn integrodifference equations
boundary value problems
existence
fixed point theorem
Online Access:http://link.springer.com/article/10.1186/s13661-017-0923-5
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spelling doaj-d49e7878966547018821f5e31a493aa62020-11-24T22:01:26ZengSpringerOpenBoundary Value Problems1687-27702018-01-012018111710.1186/s13661-017-0923-5On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equationsNichaphat Patanarapeelert0Tanapat Brikshavana1Thanin Sitthiwirattham2Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North BangkokMathematics Department, Faculty of Science and Technology, Suan Dusit UniversityMathematics Department, Faculty of Science and Technology, Suan Dusit UniversityAbstract The aim of this work is to study a nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equation. The problem contains two fractional Hahn difference operators and a fractional Hahn integral with different numbers of order. We use the Banach fixed point theorem to prove the existence and uniqueness of the solution. In particular, the existence of at least one solution is presented by using the Schauder fixed point theorem.http://link.springer.com/article/10.1186/s13661-017-0923-5fractional Hahn integrodifference equationsboundary value problemsexistencefixed point theorem
collection DOAJ
language English
format Article
sources DOAJ
author Nichaphat Patanarapeelert
Tanapat Brikshavana
Thanin Sitthiwirattham
spellingShingle Nichaphat Patanarapeelert
Tanapat Brikshavana
Thanin Sitthiwirattham
On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations
Boundary Value Problems
fractional Hahn integrodifference equations
boundary value problems
existence
fixed point theorem
author_facet Nichaphat Patanarapeelert
Tanapat Brikshavana
Thanin Sitthiwirattham
author_sort Nichaphat Patanarapeelert
title On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations
title_short On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations
title_full On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations
title_fullStr On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations
title_full_unstemmed On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations
title_sort on nonlocal dirichlet boundary value problem for sequential caputo fractional hahn integrodifference equations
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2770
publishDate 2018-01-01
description Abstract The aim of this work is to study a nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equation. The problem contains two fractional Hahn difference operators and a fractional Hahn integral with different numbers of order. We use the Banach fixed point theorem to prove the existence and uniqueness of the solution. In particular, the existence of at least one solution is presented by using the Schauder fixed point theorem.
topic fractional Hahn integrodifference equations
boundary value problems
existence
fixed point theorem
url http://link.springer.com/article/10.1186/s13661-017-0923-5
work_keys_str_mv AT nichaphatpatanarapeelert onnonlocaldirichletboundaryvalueproblemforsequentialcaputofractionalhahnintegrodifferenceequations
AT tanapatbrikshavana onnonlocaldirichletboundaryvalueproblemforsequentialcaputofractionalhahnintegrodifferenceequations
AT thaninsitthiwirattham onnonlocaldirichletboundaryvalueproblemforsequentialcaputofractionalhahnintegrodifferenceequations
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