Existence and uniqueness of solutions to nonlinear impulsive hybrid differential equations with linear and nonlinear perturbations
Abstract
In this paper, we establish the existence and uniqueness of solutions to impulsive nonlinear hybrid fractional differential equations, considering both linear and nonlinear perturbations. Our approach relies on the nonlinear alternative of Leray-Schauder type, in conjunction with Banach’s fixed-point theorem. Additionally, we provide an illustrative example to showcase the applicability of our results.
Copyright © 2023 Mohamed Hannabou, Mohamed Bouaouid, Khalid Hilal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Hannabou, M. Bouaouid, K. Hilal, Existence and uniqueness of solutions to nonlinear impulsive hybrid differential equations with linear and nonlinear perturbations, J. Math. Comput. Sci. 13 (2023), 10. https://doi.org/10.28919/jmcs/8043
BibTeX
@article{Hannabou2023,
author = {Hannabou, Mohamed and Bouaouid, Mohamed and Hilal, Khalid},
title = {Existence and uniqueness of solutions to nonlinear impulsive hybrid differential equations with linear and nonlinear perturbations},
journal = {J. Math. Comput. Sci.},
volume = {13},
year = {2023},
pages = {10},
doi = {10.28919/jmcs/8043}
}