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| Titre: | Controllability of impulsive fractional functional evolution equations with infinite state-dependent delay in Banach spaces |
| Auteur(s): | Aimene, Djihad
Seba, Djamila
Laoubi, Karima |
| Mots-clés: | Controllability
Fixed-point
Fractional derivatives and integrals
Impulses
Semigroups
State-dependent delay |
| Date de publication: | 2021 |
| Editeur: | Wiley |
| Collection/Numéro: | Mathematical Methods in the Applied Sciences/ Vol.44, N°10 (2021);pp. 7979-7994 |
| Résumé: | Many evolutionary processes from various fields of physical and engineering sciences undergo abrupt changes of state at certain moments of time between intervals of continuous evolution. These processes are more suitably modeled by impulsive differential equations. In this paper, we study the controllability of an impulsive fractional differential equation with infinite state-dependent delay in an arbitrary Banach space. We apply semigroup theory and Schaefer fixed point theorem. As an application, we include an example to illustrate the theory |
| URI/URL: | https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.5644
https://doi.org/10.1002/mma.5644
http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/7004 |
| ISSN: | 01704214
1099-1476 Electronic |
| Collection(s) : | Publications Internationales
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