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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
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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| _version_ | 1832566983633141760 |
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| author | Asma Bouzaroura Saïd Mazouzi |
| author_facet | Asma Bouzaroura Saïd Mazouzi |
| author_sort | Asma Bouzaroura |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-b1b50ba6fc4245818e1880e5ed1234df |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-b1b50ba6fc4245818e1880e5ed1234df2025-02-03T01:02:38ZengWileyInternational 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2013/191060 |
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