Exploring Impulsive and Delay Differential Systems Using Piecewise Fractional Derivatives

Exploring Impulsive and Delay Differential Systems Using Piecewise Fractional Derivatives

This paper investigates a general class of variable-kernel discrete delay differential equations (DDDEs) with integral boundary conditions and impulsive effects, analyzed using Caputo piecewise derivatives. We establish results for the existence and uniqueness of solutions, as well as their stabilit...

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Bibliographic Details
Main Authors: Hicham Saber, Arshad Ali, Khaled Aldwoah, Tariq Alraqad, Abdelkader Moumen, Amer Alsulami, Nidal Eljaneid
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Fractal and Fractional
Subjects:
impulsive and integral boundary conditions
fractional piecewise derivatives
nonlinear methods
variable kernel
discrete delay differential equations
existence and stability results
Online Access:https://www.mdpi.com/2504-3110/9/2/105

Internet

https://www.mdpi.com/2504-3110/9/2/105

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