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Impulsive fractional differential inclusions involving the Caputo fractional derivative
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| dc.contributor.author | HAMANI, Samira | |
| dc.contributor.author | Benchohra, Mouffak | |
| dc.contributor.author | E Ait, Dads | |
| dc.date.accessioned | 2019-01-06T13:05:47Z | |
| dc.date.available | 2019-01-06T13:05:47Z | |
| dc.date.issued | 2009 | |
| dc.identifier.issn | 1311-0454 | |
| dc.identifier.uri | http://e-biblio.univ-mosta.dz/handle/123456789/8085 | |
| dc.description.abstract | IMPULSIVE FRACTIONAL DIFFERENTIAL INCLUSIONS INVOLVING THE CAPUTO FRACTIONAL DERIVATIVE 1 E. Ait Dads ∗ , M. Benchohra ∗∗ , S. Hamani ∗∗ Abstract In this paper, we establish sufficient conditions for the existence of solu- tions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. Both cases of con- vex and nonconvex valued right-hand side are considered. The topological structure of the set of solutions is also considered. Mathematics Subject Classification : 26A33, 34A37 Key Words and Phrases : initial value problem, fractional differential inclusions, impulses, Caputo fractional derivative, fractional integral, selec- tion, existence, fixed point theorem | en_US |
| dc.publisher | Fractional Calculus and Applied Analysis | en_US |
| dc.title | Impulsive fractional differential inclusions involving the Caputo fractional derivative | en_US |
| dc.type | Article | en_US |
