Dynamic analysis of the fractional distributed delay models

Scientific Reports 2026 Open access

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Authors: H. A. A. El-Saka, D. El. A. El-Sherbeny, A. M. A. El-Sayed
DOI: 10.1038/s41598-026-52327-8
Cited by: 1
References: 26

Abstract

In this paper, we analyze the stability of the fractional distributed delay models. We use the linear chain trick to convert these models into an incommensurate fractional order systems. We get the stability regions by studying the characteristic equation around equilibrium points. We investigate how the fractional order [Formula: see text], ρ and a affect the stability of the models. We study the fractional order delay logistic equation and compare the influence of the distributed delay on the stability regions. Numerical simulations are exhibited to confirm the analytical results.

Fields of Study & Subjects

Fractional Differential Equations Solutions Advanced Control Systems Design Neural Networks Stability and Synchronization

Publication details

Journal / source
Scientific Reports
Publisher
Springer Science and Business Media LLC
Volume
16
Issue
1
Publication date
26 May 2026
Language
EN