Existence of solutions to differential inclusions with fractional order and impulses
We establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. We consider the cases when the multivalued nonlinear term takes convex values as well as nonconvex...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2010-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/80/abstr.html |
| _version_ | 1811294315750621184 |
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| author | Mouffak Benchohra Samira Hamani Juan Jose Nieto Boualem Attou Slimani |
| author_facet | Mouffak Benchohra Samira Hamani Juan Jose Nieto Boualem Attou Slimani |
| author_sort | Mouffak Benchohra |
| collection | DOAJ |
| description | We establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. We consider the cases when the multivalued nonlinear term takes convex values as well as nonconvex values. The topological structure of the set of solutions is also considered. |
| first_indexed | 2024-04-13T05:14:39Z |
| format | Article |
| id | doaj.art-69da0ec6e8c344c6b5c8bc84633f1c1b |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T05:14:39Z |
| publishDate | 2010-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-69da0ec6e8c344c6b5c8bc84633f1c1b2022-12-22T03:00:55ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-06-01201080,118Existence of solutions to differential inclusions with fractional order and impulsesMouffak BenchohraSamira HamaniJuan Jose NietoBoualem Attou SlimaniWe establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. We consider the cases when the multivalued nonlinear term takes convex values as well as nonconvex values. The topological structure of the set of solutions is also considered.http://ejde.math.txstate.edu/Volumes/2010/80/abstr.htmlInitial value problemimpulsesdifferential inclusionCaputo fractional derivativefractional integralexistenceuniquenessfixed point |
| spellingShingle | Mouffak Benchohra Samira Hamani Juan Jose Nieto Boualem Attou Slimani Existence of solutions to differential inclusions with fractional order and impulses Electronic Journal of Differential Equations Initial value problem impulses differential inclusion Caputo fractional derivative fractional integral existence uniqueness fixed point |
| title | Existence of solutions to differential inclusions with fractional order and impulses |
| title_full | Existence of solutions to differential inclusions with fractional order and impulses |
| title_fullStr | Existence of solutions to differential inclusions with fractional order and impulses |
| title_full_unstemmed | Existence of solutions to differential inclusions with fractional order and impulses |
| title_short | Existence of solutions to differential inclusions with fractional order and impulses |
| title_sort | existence of solutions to differential inclusions with fractional order and impulses |
| topic | Initial value problem impulses differential inclusion Caputo fractional derivative fractional integral existence uniqueness fixed point |
| url | http://ejde.math.txstate.edu/Volumes/2010/80/abstr.html |
| work_keys_str_mv | AT mouffakbenchohra existenceofsolutionstodifferentialinclusionswithfractionalorderandimpulses AT samirahamani existenceofsolutionstodifferentialinclusionswithfractionalorderandimpulses AT juanjosenieto existenceofsolutionstodifferentialinclusionswithfractionalorderandimpulses AT boualemattouslimani existenceofsolutionstodifferentialinclusionswithfractionalorderandimpulses |