An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space
This paper is concerned with the existence, uniqueness, and stability of the solution of some impulsive fractional problem in a Banach space subjected to a nonlocal condition. Meanwhile, we give a new concept of a solution to impulsive fractional equations of multiorders. The derived results are bas...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2013/191060 |
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doaj-b1b50ba6fc4245818e1880e5ed1234df2020-11-24T23:21:33ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512013-01-01201310.1155/2013/191060191060An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach SpaceAsma Bouzaroura0Saïd Mazouzi1Laboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaLaboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaThis paper is concerned with the existence, uniqueness, and stability of the solution of some impulsive fractional problem in a Banach space subjected to a nonlocal condition. Meanwhile, we give a new concept of a solution to impulsive fractional equations of multiorders. The derived results are based on Banach's contraction theorem as well as Schaefer's fixed point theorem.http://dx.doi.org/10.1155/2013/191060 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Asma Bouzaroura Saïd Mazouzi |
| spellingShingle |
Asma Bouzaroura Saïd Mazouzi An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space International Journal of Differential Equations |
| author_facet |
Asma Bouzaroura Saïd Mazouzi |
| author_sort |
Asma Bouzaroura |
| title |
An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space |
| title_short |
An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space |
| title_full |
An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space |
| title_fullStr |
An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space |
| title_full_unstemmed |
An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space |
| title_sort |
alternative method for the study of impulsive differential equations of fractional orders in a banach space |
| publisher |
Hindawi Limited |
| series |
International Journal of Differential Equations |
| issn |
1687-9643 1687-9651 |
| publishDate |
2013-01-01 |
| description |
This paper is concerned with the existence, uniqueness, and stability of the solution of some impulsive fractional problem in a Banach space subjected to a nonlocal condition. Meanwhile, we give a new concept of a solution to impulsive fractional equations of multiorders. The derived results are based on Banach's contraction theorem as well as Schaefer's fixed point theorem. |
| url |
http://dx.doi.org/10.1155/2013/191060 |
| work_keys_str_mv |
AT asmabouzaroura analternativemethodforthestudyofimpulsivedifferentialequationsoffractionalordersinabanachspace AT saidmazouzi analternativemethodforthestudyofimpulsivedifferentialequationsoffractionalordersinabanachspace AT asmabouzaroura alternativemethodforthestudyofimpulsivedifferentialequationsoffractionalordersinabanachspace AT saidmazouzi alternativemethodforthestudyofimpulsivedifferentialequationsoffractionalordersinabanachspace |
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1725571293162504192 |