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| Titre: | The Henstock-Kurzweil-Pettis integral and multiorders fractional differential equations with impulses and multipoint fractional integral boundary conditions in Banach spaces |
| Auteur(s): | Seba, Djamila
Habani, Sadek
Benaissa, Abbes
Rebai, Hamza |
| Mots-clés: | Banach space
Boundary value problem
Caputo fractional derivative
Fixed point
Henstock-Kurzweil-Pettis integral
Measure of weak noncompactness |
| Date de publication: | 2021 |
| Editeur: | Wiley |
| Collection/Numéro: | Mathematical Methods in the Applied Sciences/ Vol.44, N°10 (2021);pp. 8345-8362 |
| Résumé: | This paper is devoted to the existence of weak solutions for a multipoint fractional integral boundary value problem of an impulsive nonlinear differential equation involving multiorders fractional derivatives and deviating argument. We make use of an appropriate fixed point theorem combined with the technique of measures of weak noncompactness. Our investigation is considered in a Banach space. The applicability of the obtained results is illustrated by an example |
| URI/URL: | https://doi.org/10.1002/mma.6020
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.6020
http://dlibrary.univ-boumerdes.dz:8080/handle/123456789/7007 |
| ISSN: | 01704214
1099-1476 Electronic |
| Collection(s) : | Publications Internationales
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