Existence Theory for th Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case

Existence Theory for th Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case

This paper is devoted to the study of the existence and uniqueness of solutions for th order differential equations with nonlocal integral boundary conditions. Our results are based on a variety of fixed point theorems. Some illustrative examples are discussed. We also discuss the Caputo type fract...

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Main Authors: Bashir Ahmad, Sotiris K. Ntouyas, Hamed H. Alsulami
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/183813
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spelling doaj-4213800e48504d6ba577829b67643c462020-11-24T23:54:19ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/183813183813Existence Theory for th Order Nonlocal Integral Boundary Value Problems and Extension to Fractional CaseBashir Ahmad0Sotiris K. Ntouyas1Hamed H. Alsulami2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThis paper is devoted to the study of the existence and uniqueness of solutions for th order differential equations with nonlocal integral boundary conditions. Our results are based on a variety of fixed point theorems. Some illustrative examples are discussed. We also discuss the Caputo type fractional analogue of the higher-order problem of ordinary differential equations.http://dx.doi.org/10.1155/2013/183813
collection DOAJ
language English
format Article
sources DOAJ
author Bashir Ahmad
Sotiris K. Ntouyas
Hamed H. Alsulami
spellingShingle Bashir Ahmad
Sotiris K. Ntouyas
Hamed H. Alsulami
Existence Theory for th Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case
Abstract and Applied Analysis
author_facet Bashir Ahmad
Sotiris K. Ntouyas
Hamed H. Alsulami
author_sort Bashir Ahmad
title Existence Theory for th Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case
title_short Existence Theory for th Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case
title_full Existence Theory for th Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case
title_fullStr Existence Theory for th Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case
title_full_unstemmed Existence Theory for th Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case
title_sort existence theory for th order nonlocal integral boundary value problems and extension to fractional case
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description This paper is devoted to the study of the existence and uniqueness of solutions for th order differential equations with nonlocal integral boundary conditions. Our results are based on a variety of fixed point theorems. Some illustrative examples are discussed. We also discuss the Caputo type fractional analogue of the higher-order problem of ordinary differential equations.
url http://dx.doi.org/10.1155/2013/183813
work_keys_str_mv AT bashirahmad existencetheoryforthordernonlocalintegralboundaryvalueproblemsandextensiontofractionalcase
AT sotiriskntouyas existencetheoryforthordernonlocalintegralboundaryvalueproblemsandextensiontofractionalcase
AT hamedhalsulami existencetheoryforthordernonlocalintegralboundaryvalueproblemsandextensiontofractionalcase
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