Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces

By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. In addition, an example to illustrate the main results is given.

Saved in:
Bibliographic Details
Published in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.987-1005
Main Authors: Zhu, Xianyang, Wang, Xuebin, Huang, Li, Zhao, Yulin
Format: Article
Language:English
Subjects:
Banach space
Banach spaces
Boundary value problems
Differential equations
Existence theorems
Mathematical analysis
Nonlinearity
Operators
Science
Studies
Theorems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-a581t-6f5e8a44c5c467d2fc110edcaa778a78bcf25793332588beaa5ce765871242d83
cites cdi_FETCH-LOGICAL-a581t-6f5e8a44c5c467d2fc110edcaa778a78bcf25793332588beaa5ce765871242d83
container_end_page 1005
container_issue 2012
container_start_page 987
container_title Abstract and Applied Analysis
container_volume 2012
creator Zhu, Xianyang
Wang, Xuebin
Huang, Li
Zhao, Yulin
description By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. In addition, an example to illustrate the main results is given.
doi_str_mv 10.1155/2012/172963
format article
fullrecord <record><control><sourceid>proquest_doaj_</sourceid><recordid>TN_cdi_doaj_primary_oai_doaj_org_article_69970411082249c791799750727eb0fa</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><airiti_id>P20160825001_201212_201609090069_201609090069_987_1005</airiti_id><doaj_id>oai_doaj_org_article_69970411082249c791799750727eb0fa</doaj_id><sourcerecordid>2873221801</sourcerecordid><originalsourceid>FETCH-LOGICAL-a581t-6f5e8a44c5c467d2fc110edcaa778a78bcf25793332588beaa5ce765871242d83</originalsourceid><addsrcrecordid>eNqFks9v0zAUxyMEEmNw4oxkiQsChdmOf97YSgeVOjFpjGv06r6srtK4cxwNxD-P21RF44JycPx9H338ZL-ieM3oR8akPOOU8TOmuVXVk-KEKaNLKqh9mv-pkWVVafm8eNH3a0pppYU4KX5Pf_o-YeeQhIbchHZIPnQ9aUIklxHcbgctmXUJ72IoP_umwYhd8jmc3g-wq5MHn1bkamiT3wbfJXIRhm4J8Rf5Ae2A5DqGRYsb4jtyAR24FbnZgsP-ZfGsgbbHV4f1tLi9nH6ffC3n377MJufzEqRhqVSNRANCOOmE0kveOMYoLh2A1ga0WbiGS22rquLSmAUCSIdaSaMZF3xpqtNiNnqXAdb1NvpN7q0O4Ot9EOJdDTF512KtrNVUZL_hXFinLdM5kVRzjQvaQHZ9Gl3bGNboEg6u9ctH0snt_JAeFgCoWWWtMEpJmRXvjor7AftUb3zvsG2hwzD0NVOaCc4423X-9h90HYaYHyRTXHOuqNBVpj6MlIuh7yM2x3YYrXdzUe_moh7nItPvR3rl8yM9-P_Ab0YYM4INHGEhWb6oXL8a6-CjT_5ve9fZovItSkrZ3pid-8jmjyr7eGONzsdTWf0BqvzU_w</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1272260473</pqid></control><display><type>article</type><title>Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces</title><source>Wiley-Blackwell Open Access Titles</source><source>Publicly Available Content Database</source><creator>Zhu, Xianyang ; Wang, Xuebin ; Huang, Li ; Zhao, Yulin</creator><contributor>Sadarangani, Kishin B.</contributor><creatorcontrib>Zhu, Xianyang ; Wang, Xuebin ; Huang, Li ; Zhao, Yulin ; Sadarangani, Kishin B.</creatorcontrib><description>By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. In addition, an example to illustrate the main results is given.</description><identifier>ISSN: 1085-3375</identifier><identifier>EISSN: 1687-0409</identifier><identifier>DOI: 10.1155/2012/172963</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Limiteds</publisher><subject>Banach space ; Banach spaces ; Boundary value problems ; Differential equations ; Existence theorems ; Mathematical analysis ; Nonlinearity ; Operators ; Science ; Studies ; Theorems</subject><ispartof>Abstract and Applied Analysis, 2012-01, Vol.2012 (2012), p.987-1005</ispartof><rights>Copyright © 2012 Yulin Zhao et al.</rights><rights>Copyright © 2012 Yulin Zhao et al. Yulin Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</rights><rights>Copyright 2012 Hindawi Publishing Corporation</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a581t-6f5e8a44c5c467d2fc110edcaa778a78bcf25793332588beaa5ce765871242d83</citedby><cites>FETCH-LOGICAL-a581t-6f5e8a44c5c467d2fc110edcaa778a78bcf25793332588beaa5ce765871242d83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/1272260473/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/1272260473?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>230,314,780,784,885,25751,27922,27923,37010,37011,44588,74896</link.rule.ids></links><search><contributor>Sadarangani, Kishin B.</contributor><creatorcontrib>Zhu, Xianyang</creatorcontrib><creatorcontrib>Wang, Xuebin</creatorcontrib><creatorcontrib>Huang, Li</creatorcontrib><creatorcontrib>Zhao, Yulin</creatorcontrib><title>Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces</title><title>Abstract and Applied Analysis</title><description>By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. In addition, an example to illustrate the main results is given.</description><subject>Banach space</subject><subject>Banach spaces</subject><subject>Boundary value problems</subject><subject>Differential equations</subject><subject>Existence theorems</subject><subject>Mathematical analysis</subject><subject>Nonlinearity</subject><subject>Operators</subject><subject>Science</subject><subject>Studies</subject><subject>Theorems</subject><issn>1085-3375</issn><issn>1687-0409</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNqFks9v0zAUxyMEEmNw4oxkiQsChdmOf97YSgeVOjFpjGv06r6srtK4cxwNxD-P21RF44JycPx9H338ZL-ieM3oR8akPOOU8TOmuVXVk-KEKaNLKqh9mv-pkWVVafm8eNH3a0pppYU4KX5Pf_o-YeeQhIbchHZIPnQ9aUIklxHcbgctmXUJ72IoP_umwYhd8jmc3g-wq5MHn1bkamiT3wbfJXIRhm4J8Rf5Ae2A5DqGRYsb4jtyAR24FbnZgsP-ZfGsgbbHV4f1tLi9nH6ffC3n377MJufzEqRhqVSNRANCOOmE0kveOMYoLh2A1ga0WbiGS22rquLSmAUCSIdaSaMZF3xpqtNiNnqXAdb1NvpN7q0O4Ot9EOJdDTF512KtrNVUZL_hXFinLdM5kVRzjQvaQHZ9Gl3bGNboEg6u9ctH0snt_JAeFgCoWWWtMEpJmRXvjor7AftUb3zvsG2hwzD0NVOaCc4423X-9h90HYaYHyRTXHOuqNBVpj6MlIuh7yM2x3YYrXdzUe_moh7nItPvR3rl8yM9-P_Ab0YYM4INHGEhWb6oXL8a6-CjT_5ve9fZovItSkrZ3pid-8jmjyr7eGONzsdTWf0BqvzU_w</recordid><startdate>20120101</startdate><enddate>20120101</enddate><creator>Zhu, Xianyang</creator><creator>Wang, Xuebin</creator><creator>Huang, Li</creator><creator>Zhao, Yulin</creator><general>Hindawi Limiteds</general><general>Hindawi Puplishing Corporation</general><general>Hindawi Publishing Corporation</general><general>Hindawi Limited</general><scope>188</scope><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>DOA</scope></search><sort><creationdate>20120101</creationdate><title>Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces</title><author>Zhu, Xianyang ; Wang, Xuebin ; Huang, Li ; Zhao, Yulin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a581t-6f5e8a44c5c467d2fc110edcaa778a78bcf25793332588beaa5ce765871242d83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Banach space</topic><topic>Banach spaces</topic><topic>Boundary value problems</topic><topic>Differential equations</topic><topic>Existence theorems</topic><topic>Mathematical analysis</topic><topic>Nonlinearity</topic><topic>Operators</topic><topic>Science</topic><topic>Studies</topic><topic>Theorems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhu, Xianyang</creatorcontrib><creatorcontrib>Wang, Xuebin</creatorcontrib><creatorcontrib>Huang, Li</creatorcontrib><creatorcontrib>Zhao, Yulin</creatorcontrib><collection>Airiti Library</collection><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access Journals</collection><collection>CrossRef</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East &amp; Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>Abstract and Applied Analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhu, Xianyang</au><au>Wang, Xuebin</au><au>Huang, Li</au><au>Zhao, Yulin</au><au>Sadarangani, Kishin B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces</atitle><jtitle>Abstract and Applied Analysis</jtitle><date>2012-01-01</date><risdate>2012</risdate><volume>2012</volume><issue>2012</issue><spage>987</spage><epage>1005</epage><pages>987-1005</pages><issn>1085-3375</issn><eissn>1687-0409</eissn><abstract>By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. In addition, an example to illustrate the main results is given.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Limiteds</pub><doi>10.1155/2012/172963</doi><tpages>19</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1085-3375
ispartof Abstract and Applied Analysis, 2012-01, Vol.2012 (2012), p.987-1005
issn 1085-3375
1687-0409
language eng
recordid cdi_doaj_primary_oai_doaj_org_article_69970411082249c791799750727eb0fa
source Wiley-Blackwell Open Access Titles; Publicly Available Content Database
subjects Banach space
Banach spaces
Boundary value problems
Differential equations
Existence theorems
Mathematical analysis
Nonlinearity
Operators
Science
Studies
Theorems
title Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-14T10%3A09%3A06IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_doaj_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Existence%20of%20Solutions%20for%20Fractional%20Integro-Differential%20Equation%20with%20Multipoint%20Boundary%20Value%20Problem%20in%20Banach%20Spaces&rft.jtitle=Abstract%20and%20Applied%20Analysis&rft.au=Zhu,%20Xianyang&rft.date=2012-01-01&rft.volume=2012&rft.issue=2012&rft.spage=987&rft.epage=1005&rft.pages=987-1005&rft.issn=1085-3375&rft.eissn=1687-0409&rft_id=info:doi/10.1155/2012/172963&rft_dat=%3Cproquest_doaj_%3E2873221801%3C/proquest_doaj_%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-a581t-6f5e8a44c5c467d2fc110edcaa778a78bcf25793332588beaa5ce765871242d83%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=1272260473&rft_id=info:pmid/&rft_airiti_id=P20160825001_201212_201609090069_201609090069_987_1005&rfr_iscdi=true