Nonlocal impulsive differential equations and inclusions involving Atangana-Baleanu fractional derivative in infinite dimensional spaces

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 instanta...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	AIMS mathematics Ročník 8; číslo 5; s. 11752 - 11780
Hlavní autori:	Nuwairan, Muneerah Al, Ibrahim, Ahmed Gamal
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	AIMS Press 01.01.2023
Predmet:	atangana-baleanu fractional derivative fractional differential inclusions instantaneous and noninstantaneous impulses measure of noncompactness
ISSN:	2473-6988, 2473-6988
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Popis
Shrnutí:	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.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2023595