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

Existence Theory for nth 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 nth 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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013, p.359-370-138
Hauptverfasser: Ahmad, Bashir, Ntouyas, Sotiris K., Alsulami, Hamed H.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Existence theorems
Fixed point theory
Mathematical research
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 370-138
container_issue
container_start_page 359
container_title Abstract and Applied Analysis
container_volume 2013
creator Ahmad, Bashir
Ntouyas, Sotiris K.
Alsulami, Hamed H.
description This paper is devoted to the study of the existence and uniqueness of solutions for nth 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.
doi_str_mv 10.1155/2013/183813
format Article
fullrecord <record><control><sourceid>gale_hinda</sourceid><recordid>TN_cdi_gale_infotracacademiconefile_A369793996</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A369793996</galeid><airiti_id>P20160825001_201312_201609070065_201609070065_359_370_138</airiti_id><sourcerecordid>A369793996</sourcerecordid><originalsourceid>FETCH-LOGICAL-a232t-f8fe5e15dd3150472fbdcc0a3e8b43d2ebcbbd04264c3c114c07e281cb5f52453</originalsourceid><addsrcrecordid>eNpVUMtO5DAQjFastDz2tD_gM1Kg7bYT5wij4SEhmMPsXi3H7jBGGRs5GQF_v2aGC-pDl1tVJVdV1R8OF5wrdSmA4yXXqDn-qI55o9saJHRHBYNWNWKrflUn0_QCANhKeVyF5XuYZoqO2HpDKX-wIWUW5w17yp4ye0xxTM6O7D7O9JwLuE676G0h_rPjjtgqp36k7cRs9Gz5XqymkCKbE7vJ1s0FF83CTnRW_RzsONHvr31a_b1Zrhd39cPT7f3i6qG2AsVcD3ogRVx5j1yBbMXQe-fAIuleohfUu773IEUjHTrOpYOWhOauV4MSUuFpdXHwfbYjmRCHNJePlPG0DS5FGkK5X2HTtR12XVME5wfBJpRgb8G85rAtAQ0H89mq-WzVHFot5NWBbEMOczAvaZdLwsmsCqsBLRQA3yu4MPtTBy1Ao74_UHUG2-KPGv8D3zZ_0w</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Existence Theory for nth Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case</title><source>DOAJ Directory of Open Access Journals</source><source>Wiley Online Library Open Access</source><source>EZB-FREE-00999 freely available EZB journals</source><source>Alma/SFX Local Collection</source><creator>Ahmad, Bashir ; Ntouyas, Sotiris K. ; Alsulami, Hamed H.</creator><contributor>Baleanu, Dumitru</contributor><creatorcontrib>Ahmad, Bashir ; Ntouyas, Sotiris K. ; Alsulami, Hamed H. ; Baleanu, Dumitru</creatorcontrib><description>This paper is devoted to the study of the existence and uniqueness of solutions for nth 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.</description><identifier>ISSN: 1085-3375</identifier><identifier>EISSN: 1687-0409</identifier><identifier>DOI: 10.1155/2013/183813</identifier><language>eng</language><publisher>Hindawi Limiteds</publisher><subject>Boundary value problems ; Existence theorems ; Fixed point theory ; Mathematical research</subject><ispartof>Abstract and Applied Analysis, 2013-01, Vol.2013, p.359-370-138</ispartof><rights>Copyright © 2013 Bashir Ahmad et al.</rights><rights>COPYRIGHT 2013 John Wiley &amp; Sons, Inc.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,860,873,27903,27904</link.rule.ids></links><search><contributor>Baleanu, Dumitru</contributor><creatorcontrib>Ahmad, Bashir</creatorcontrib><creatorcontrib>Ntouyas, Sotiris K.</creatorcontrib><creatorcontrib>Alsulami, Hamed H.</creatorcontrib><title>Existence Theory for nth Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case</title><title>Abstract and Applied Analysis</title><description>This paper is devoted to the study of the existence and uniqueness of solutions for nth 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.</description><subject>Boundary value problems</subject><subject>Existence theorems</subject><subject>Fixed point theory</subject><subject>Mathematical research</subject><issn>1085-3375</issn><issn>1687-0409</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><recordid>eNpVUMtO5DAQjFastDz2tD_gM1Kg7bYT5wij4SEhmMPsXi3H7jBGGRs5GQF_v2aGC-pDl1tVJVdV1R8OF5wrdSmA4yXXqDn-qI55o9saJHRHBYNWNWKrflUn0_QCANhKeVyF5XuYZoqO2HpDKX-wIWUW5w17yp4ye0xxTM6O7D7O9JwLuE676G0h_rPjjtgqp36k7cRs9Gz5XqymkCKbE7vJ1s0FF83CTnRW_RzsONHvr31a_b1Zrhd39cPT7f3i6qG2AsVcD3ogRVx5j1yBbMXQe-fAIuleohfUu773IEUjHTrOpYOWhOauV4MSUuFpdXHwfbYjmRCHNJePlPG0DS5FGkK5X2HTtR12XVME5wfBJpRgb8G85rAtAQ0H89mq-WzVHFot5NWBbEMOczAvaZdLwsmsCqsBLRQA3yu4MPtTBy1Ao74_UHUG2-KPGv8D3zZ_0w</recordid><startdate>20130101</startdate><enddate>20130101</enddate><creator>Ahmad, Bashir</creator><creator>Ntouyas, Sotiris K.</creator><creator>Alsulami, Hamed H.</creator><general>Hindawi Limiteds</general><general>Hindawi Publishing Corporation</general><general>John Wiley &amp; Sons, Inc</general><scope>188</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope></search><sort><creationdate>20130101</creationdate><title>Existence Theory for nth Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case</title><author>Ahmad, Bashir ; Ntouyas, Sotiris K. ; Alsulami, Hamed H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a232t-f8fe5e15dd3150472fbdcc0a3e8b43d2ebcbbd04264c3c114c07e281cb5f52453</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Boundary value problems</topic><topic>Existence theorems</topic><topic>Fixed point theory</topic><topic>Mathematical research</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ahmad, Bashir</creatorcontrib><creatorcontrib>Ntouyas, Sotiris K.</creatorcontrib><creatorcontrib>Alsulami, Hamed H.</creatorcontrib><collection>Airiti Library</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access</collection><jtitle>Abstract and Applied Analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ahmad, Bashir</au><au>Ntouyas, Sotiris K.</au><au>Alsulami, Hamed H.</au><au>Baleanu, Dumitru</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Existence Theory for nth Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case</atitle><jtitle>Abstract and Applied Analysis</jtitle><date>2013-01-01</date><risdate>2013</risdate><volume>2013</volume><spage>359</spage><epage>370-138</epage><pages>359-370-138</pages><issn>1085-3375</issn><eissn>1687-0409</eissn><abstract>This paper is devoted to the study of the existence and uniqueness of solutions for nth 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.</abstract><pub>Hindawi Limiteds</pub><doi>10.1155/2013/183813</doi><tpages>12</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1085-3375
ispartof Abstract and Applied Analysis, 2013-01, Vol.2013, p.359-370-138
issn 1085-3375
1687-0409
language eng
recordid cdi_gale_infotracacademiconefile_A369793996
source DOAJ Directory of Open Access Journals; Wiley Online Library Open Access; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection
subjects Boundary value problems
Existence theorems
Fixed point theory
Mathematical research
title Existence Theory for nth Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-24T02%3A26%3A06IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_hinda&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Existence%20Theory%20for%20nth%20Order%20Nonlocal%20Integral%20Boundary%20Value%20Problems%20and%20Extension%20to%20Fractional%20Case&rft.jtitle=Abstract%20and%20Applied%20Analysis&rft.au=Ahmad,%20Bashir&rft.date=2013-01-01&rft.volume=2013&rft.spage=359&rft.epage=370-138&rft.pages=359-370-138&rft.issn=1085-3375&rft.eissn=1687-0409&rft_id=info:doi/10.1155/2013/183813&rft_dat=%3Cgale_hinda%3EA369793996%3C/gale_hinda%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_galeid=A369793996&rft_airiti_id=P20160825001_201312_201609070065_201609070065_359_370_138&rfr_iscdi=true