Existence of mild solutions for non-instantaneous impulsive ξ-Caputo fractional integro-differential equations
The aim of this paper is to investigate the existence of mild solutions for a nonlocal ξ-Caputo fractional non-instantaneous impulses semilinear integro-differential equation in a Banach space. The proofs are based on some fixed point theorems for condensing maps. As an application, an example is given to illustrate our theoretical results.
Authors
- M’hamed Elomari (ORCID: https://orcid.org/0000-0002-4256-1434)
- Ali El Mfadel (ORCID: https://orcid.org/0000-0002-2479-1762)
- Walid Benhadda (ORCID: https://orcid.org/0009-0005-0401-9715)
- Abderrazak Kassid
Institutions
- Université Sultan Moulay Slimane (MA)
Publication Details
- Journal
- Proyecciones (Antofagasta)
- Published
- 2024-09-23
- DOI
- https://doi.org/10.22199/issn.0717-6279-6282
- Citations
- 2
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 1.95