Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces

Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces

We firstly deal with the existence of mild solutions for nonlocal fractional impulsive semilinear differential inclusions involving Caputo derivative in Banach spaces in the case when the linear part is the infinitesimal generator of a semigroup not necessarily compact. Meanwhile, we prove the compa...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of function spaces and applications 2013, Vol.2013 (2013), p.1-16
Hauptverfasser: Wang, JinRong, Ibrahim, Ahmed G.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 16
container_issue 2013
container_start_page 1
container_title Journal of function spaces and applications
container_volume 2013
creator Wang, JinRong
Ibrahim, Ahmed G.
description We firstly deal with the existence of mild solutions for nonlocal fractional impulsive semilinear differential inclusions involving Caputo derivative in Banach spaces in the case when the linear part is the infinitesimal generator of a semigroup not necessarily compact. Meanwhile, we prove the compactness property of the set of solutions. Secondly, we establish two cases of sufficient conditions for the controllability of the considered control problems.
format Article
fullrecord <record><control><sourceid>emarefa</sourceid><recordid>TN_cdi_emarefa_primary_478067</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>478067</sourcerecordid><originalsourceid>FETCH-emarefa_primary_4780673</originalsourceid><addsrcrecordid>eNqFistKA0EQRZtgwMHkE4T6gYGeZJ5b80A3LtR9KNtq0lKpHrp6xPy9I7h3dQ7n3oUpqq7py3pomxtT2KHblG1vN7dmrfppra2qoaqbujDj4TtoJnEEKB-wi5JTZMb3wCFf4YV04qzgY4LnKBwdMhwTuhyizPp0GSfW8EWwD95TIsnhN4vjSeeLQhB4QEF3htcRHenKLD2y0vqPd-b-eHjbPZZ0wUQeT2MKs11Pddfbttv-t_8AdRpJiQ</addsrcrecordid><sourcetype>Publisher</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces</title><source>DOAJ Directory of Open Access Journals</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>Wang, JinRong ; Ibrahim, Ahmed G.</creator><creatorcontrib>Wang, JinRong ; Ibrahim, Ahmed G.</creatorcontrib><description>We firstly deal with the existence of mild solutions for nonlocal fractional impulsive semilinear differential inclusions involving Caputo derivative in Banach spaces in the case when the linear part is the infinitesimal generator of a semigroup not necessarily compact. Meanwhile, we prove the compactness property of the set of solutions. Secondly, we establish two cases of sufficient conditions for the controllability of the considered control problems.</description><identifier>ISSN: 0972-6802</identifier><identifier>EISSN: 1758-4965</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Puplishing Corporation</publisher><ispartof>Journal of function spaces and applications, 2013, Vol.2013 (2013), p.1-16</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780</link.rule.ids></links><search><creatorcontrib>Wang, JinRong</creatorcontrib><creatorcontrib>Ibrahim, Ahmed G.</creatorcontrib><title>Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces</title><title>Journal of function spaces and applications</title><description>We firstly deal with the existence of mild solutions for nonlocal fractional impulsive semilinear differential inclusions involving Caputo derivative in Banach spaces in the case when the linear part is the infinitesimal generator of a semigroup not necessarily compact. Meanwhile, we prove the compactness property of the set of solutions. Secondly, we establish two cases of sufficient conditions for the controllability of the considered control problems.</description><issn>0972-6802</issn><issn>1758-4965</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNqFistKA0EQRZtgwMHkE4T6gYGeZJ5b80A3LtR9KNtq0lKpHrp6xPy9I7h3dQ7n3oUpqq7py3pomxtT2KHblG1vN7dmrfppra2qoaqbujDj4TtoJnEEKB-wi5JTZMb3wCFf4YV04qzgY4LnKBwdMhwTuhyizPp0GSfW8EWwD95TIsnhN4vjSeeLQhB4QEF3htcRHenKLD2y0vqPd-b-eHjbPZZ0wUQeT2MKs11Pddfbttv-t_8AdRpJiQ</recordid><startdate>2013</startdate><enddate>2013</enddate><creator>Wang, JinRong</creator><creator>Ibrahim, Ahmed G.</creator><general>Hindawi Puplishing Corporation</general><scope>ADJCN</scope><scope>AHFXO</scope></search><sort><creationdate>2013</creationdate><title>Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces</title><author>Wang, JinRong ; Ibrahim, Ahmed G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-emarefa_primary_4780673</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><toplevel>online_resources</toplevel><creatorcontrib>Wang, JinRong</creatorcontrib><creatorcontrib>Ibrahim, Ahmed G.</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><jtitle>Journal of function spaces and applications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, JinRong</au><au>Ibrahim, Ahmed G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces</atitle><jtitle>Journal of function spaces and applications</jtitle><date>2013</date><risdate>2013</risdate><volume>2013</volume><issue>2013</issue><spage>1</spage><epage>16</epage><pages>1-16</pages><issn>0972-6802</issn><eissn>1758-4965</eissn><abstract>We firstly deal with the existence of mild solutions for nonlocal fractional impulsive semilinear differential inclusions involving Caputo derivative in Banach spaces in the case when the linear part is the infinitesimal generator of a semigroup not necessarily compact. Meanwhile, we prove the compactness property of the set of solutions. Secondly, we establish two cases of sufficient conditions for the controllability of the considered control problems.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Puplishing Corporation</pub><tpages>16</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0972-6802
ispartof Journal of function spaces and applications, 2013, Vol.2013 (2013), p.1-16
issn 0972-6802
1758-4965
language eng
recordid cdi_emarefa_primary_478067
source DOAJ Directory of Open Access Journals; EZB-FREE-00999 freely available EZB journals
title Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-29T14%3A12%3A06IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-emarefa&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Existence%20and%20Controllability%20Results%20for%20Nonlocal%20Fractional%20Impulsive%20Differential%20Inclusions%20in%20Banach%20Spaces&rft.jtitle=Journal%20of%20function%20spaces%20and%20applications&rft.au=Wang,%20JinRong&rft.date=2013&rft.volume=2013&rft.issue=2013&rft.spage=1&rft.epage=16&rft.pages=1-16&rft.issn=0972-6802&rft.eissn=1758-4965&rft_id=info:doi/&rft_dat=%3Cemarefa%3E478067%3C/emarefa%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true