Impulsive conformable evolution equations in Banach spaces with fractional semigroup

Mazin Aljazzazi; Seddiki Fakhreddine; Iqbal M. Batiha; Iqbal H. Jebril; Ahmed Bouchenak; Rasha I. Hajaj

doi:10.2298/FIL2426321A

Impulsive conformable evolution equations in Banach spaces with fractional semigroup

Mazin Aljazzazi
, Seddiki Fakhreddine
, Iqbal M. Batiha
, Iqbal H. Jebril
, Ahmed Bouchenak
, Rasha I. Hajaj

Nonlinear Dynamic Research Centre (NDRC)

University of Jordan
University of Djelfa
Al-Zaytoonah University of Jordan
University of Mascara
Near East University

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

In this paper, we explore the existence, uniqueness, and stability of mild solutions in impulsive differential equations featuring conformable fractional derivatives. Our principal findings leverage fractional semigroup theory, complemented by some fixed-point theorems. Additionally, we provide a practical example to demonstrate the relevance of our theoretical outcomes.

Original language	English
Pages (from-to)	9321-9332
Number of pages	12
Journal	Filomat
Volume	38
Issue number	26
DOIs	https://doi.org/10.2298/FIL2426321A
State	Published - 2024

Keywords

conformable fractional derivatives
fractional semigroup
impulsive conditions
mild solution

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10.2298/FIL2426321A

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title = "Impulsive conformable evolution equations in Banach spaces with fractional semigroup",

abstract = "In this paper, we explore the existence, uniqueness, and stability of mild solutions in impulsive differential equations featuring conformable fractional derivatives. Our principal findings leverage fractional semigroup theory, complemented by some fixed-point theorems. Additionally, we provide a practical example to demonstrate the relevance of our theoretical outcomes.",

keywords = "conformable fractional derivatives, fractional semigroup, impulsive conditions, mild solution",

author = "Mazin Aljazzazi and Seddiki Fakhreddine and Batiha, \{Iqbal M.\} and Jebril, \{Iqbal H.\} and Ahmed Bouchenak and Hajaj, \{Rasha I.\}",

year = "2024",

doi = "10.2298/FIL2426321A",

language = "English",

volume = "38",

pages = "9321--9332",

journal = "Filomat",

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T1 - Impulsive conformable evolution equations in Banach spaces with fractional semigroup

AU - Aljazzazi, Mazin

AU - Fakhreddine, Seddiki

AU - Batiha, Iqbal M.

AU - Jebril, Iqbal H.

AU - Bouchenak, Ahmed

AU - Hajaj, Rasha I.

PY - 2024

Y1 - 2024

N2 - In this paper, we explore the existence, uniqueness, and stability of mild solutions in impulsive differential equations featuring conformable fractional derivatives. Our principal findings leverage fractional semigroup theory, complemented by some fixed-point theorems. Additionally, we provide a practical example to demonstrate the relevance of our theoretical outcomes.

AB - In this paper, we explore the existence, uniqueness, and stability of mild solutions in impulsive differential equations featuring conformable fractional derivatives. Our principal findings leverage fractional semigroup theory, complemented by some fixed-point theorems. Additionally, we provide a practical example to demonstrate the relevance of our theoretical outcomes.

KW - conformable fractional derivatives

KW - fractional semigroup

KW - impulsive conditions

KW - mild solution

UR - https://www.scopus.com/pages/publications/85214267570

U2 - 10.2298/FIL2426321A

DO - 10.2298/FIL2426321A

M3 - Article

AN - SCOPUS:85214267570

SN - 0354-5180

VL - 38

SP - 9321

EP - 9332

JO - Filomat

JF - Filomat

IS - 26

ER -

Impulsive conformable evolution equations in Banach spaces with fractional semigroup

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Keywords

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