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...
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2013/518306 |
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doaj-f993e39a5b694fb7b953cf79295a44df2020-11-24T22:53:45ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/518306518306Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach SpacesJinRong Wang0Ahmed G. Ibrahim1School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, Guizhou 550018, ChinaDepartment of Mathematical, Faculty of Science, King Faisal University, Al-Ahsa 31982, Saudi ArabiaWe 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.http://dx.doi.org/10.1155/2013/518306 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
JinRong Wang Ahmed G. Ibrahim |
spellingShingle |
JinRong Wang Ahmed G. Ibrahim Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces Journal of Function Spaces and Applications |
author_facet |
JinRong Wang Ahmed G. Ibrahim |
author_sort |
JinRong Wang |
title |
Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces |
title_short |
Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces |
title_full |
Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces |
title_fullStr |
Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces |
title_full_unstemmed |
Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces |
title_sort |
existence and controllability results for nonlocal fractional impulsive differential inclusions in banach spaces |
publisher |
Hindawi Limited |
series |
Journal of Function Spaces and Applications |
issn |
0972-6802 1758-4965 |
publishDate |
2013-01-01 |
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. |
url |
http://dx.doi.org/10.1155/2013/518306 |
work_keys_str_mv |
AT jinrongwang existenceandcontrollabilityresultsfornonlocalfractionalimpulsivedifferentialinclusionsinbanachspaces AT ahmedgibrahim existenceandcontrollabilityresultsfornonlocalfractionalimpulsivedifferentialinclusionsinbanachspaces |
_version_ |
1725662064631873536 |