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| Titre: | Controllability of nonlocal Hilfer fractional delay dynamic inclusions with non-instantaneous impulses and non-dense domain |
| Auteur(s): | Boudjerida, Assia
Seba, Djamila |
| Mots-clés: | Controllability
Fixed point
Fractional derivative
Fractional dynamic inclusions
Integral solution
Non-instantaneous impulses
Nondense domain
Nonlocal conditions
Set-valued operator |
| Date de publication: | 2022 |
| Editeur: | Springer |
| Collection/Numéro: | International Journal of Dynamics and Control/ (2022); pp. 1-13 |
| Résumé: | The controllability of a class of nondensely defined fractional dynamic delay inclusions containing Hilfer fractional derivative,
nonlocal conditions, and non-instantaneous impulses in abstract spaces is investigated without compactness assumption. The
existence of an integral solution and the controllability for the given problem are established relying on a condensing fixed
point theorem of multivalued maps. In support, an example is given to clarify the obtained theoretical outcomes |
| URI/URL: | DOI:10.1007/s40435-021-00887-0
https://link.springer.com/article/10.1007/s40435-021-00887-0
http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/7623 |
| ISSN: | 2195268X |
| Collection(s) : | Publications Internationales
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