@article{Nuwairan2023, 
author = {Muneerah Al Nuwairan and Ahmed Gamal Ibrahim},
title = {Nonlocal impulsive differential equations and inclusions involving Atangana-Baleanu fractional derivative in infinite dimensional spaces},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {5},
pages = {11752-11780},
keywords = {Atangana-Baleanu fractional derivative, fractional differential inclusions, instantaneous and noninstantaneous impulses, measure of noncompactness},
url = {https://www.sciopen.com/article/10.3934/math.2023595},
doi = {10.3934/math.2023595},
abstract = {The aim of this paper is to derive conditions under which the solution set of a non-local impulsive differential inclusions involving Atangana-Baleanu fractional derivative is a nonempty compact set in an infinite dimensional Banach spaces. Existence results for solutions in the presence of instantaneous or non-instantaneous impulsive effect are given. We considered the case where the right hand side is either a single valued function, or a multifunction. This generalizes recent results to the case when there are impulses, the right hand side is a multifunction, and where the dimension of the space is infinite. Examples are given to illustrate the effectiveness of the established results.}
}