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The solvability and optimal controls for some fractional impulsive equation
Journal
Abstract and Applied Analysis
40
Author
Liu Xianghu
Liu Zhenhai
Han Jiangfeng
Volume
2013
Article ID
914592
ISSN
1085-3375
eISSN
1687-0409
Language
English
Container language
English
Abstract in English
This paper is concerned with the existence and uniqueness of mild solution of some fractional impulsive equations. Firstly, we introduce the fractional calculus, Gronwall inequality, and Leray-Schauder’s fixed point theorem. Secondly with the help of them, the sufficient condition for the existence and uniqueness of solutions is presented. Finally we give an example to illustrate our main results.
Affiliation
Wydział Matematyki i Informatyki
cris.lastimport.scopus | 2024-04-07T17:30:43Z | |
cris.lastimport.wos | 2024-04-09T23:42:27Z | |
dc.abstract.en | This paper is concerned with the existence and uniqueness of mild solution of some fractional impulsive equations. Firstly, we introduce the fractional calculus, Gronwall inequality, and Leray-Schauder’s fixed point theorem. Secondly with the help of them, the sufficient condition for the existence and uniqueness of solutions is presented. Finally we give an example to illustrate our main results. | pl |
dc.affiliation | Wydział Matematyki i Informatyki | pl |
dc.contributor.author | Liu, Xianghu | pl |
dc.contributor.author | Liu, Zhenhai | pl |
dc.contributor.author | Han, Jiangfeng - 227816 | pl |
dc.date.accessioned | 2014-07-15T05:32:46Z | |
dc.date.available | 2014-07-15T05:32:46Z | |
dc.date.issued | 2013 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 2013 | pl |
dc.identifier.articleid | 914592 | pl |
dc.identifier.doi | 10.1155/2013/914592 | pl |
dc.identifier.eissn | 1687-0409 | pl |
dc.identifier.issn | 1085-3375 | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/24 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 3.0 Polska | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/legalcode | * |
dc.share.type | otwarte czasopismo | |
dc.subtype | Article | pl |
dc.title | The solvability and optimal controls for some fractional impulsive equation | pl |
dc.title.journal | Abstract and Applied Analysis | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
Affiliations
Wydział Matematyki i Informatyki
Han, Jiangfeng
No affiliation
Liu, Xianghu
Liu, Zhenhai