DOAJ Open Access 2025

Exploring Impulsive and Delay Differential Systems Using Piecewise Fractional Derivatives

Hicham Saber Arshad Ali Khaled Aldwoah Tariq Alraqad Abdelkader Moumen +2 lainnya

Abstrak

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 stability. The existence of at least one solution is proven using Schaefer’s fixed-point theorem, while uniqueness is established via Banach’s fixed-point theorem. Stability is examined through the lens of Ulam–Hyers (U-H) stability. Finally, we illustrate the application of our theoretical findings with a numerical example.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (7)

Hicham Saber

Arshad Ali

Khaled Aldwoah

Tariq Alraqad

Abdelkader Moumen

Amer Alsulami

Nidal Eljaneid

Format Sitasi

APA MLA BibTeX

Saber, H., Ali, A., Aldwoah, K., Alraqad, T., Moumen, A., Alsulami, A. et al. (2025). Exploring Impulsive and Delay Differential Systems Using Piecewise Fractional Derivatives. https://doi.org/10.3390/fractalfract9020105

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.3390/fractalfract9020105
Akses: Open Access ✓