International Journal of Robotics and Control Systems
Vol 5, No 2 (2025)

Stability Analysis of a Fractional-Order Lengyel–Epstein Chemical Reaction Model

Bouaziz, Khelifa (Unknown)
Djeddi, Nadhir (Unknown)
Ogilat, Osama (Unknown)
Batiha, Iqbal M. (Unknown)
Anakira, Nidal (Unknown)
Sasa, Tala (Unknown)



Article Info

Publish Date
17 Jun 2025

Abstract

In this paper, we stady a mathematical model based on a system of fractional-order differential equations to describe the dynamics of the Lengyel–Epstein chemical reaction, which is well known for exhibiting oscillatory behavior. The use of fractional derivatives allows in chemical processes compared to classical integer-order models. We specifically focus on analyzing the stability of the system’s positive equilibrium point by applying fractional calculus techniques. The stability conditions are derived and discussed in the context of the fractional-order parameters. To validate the theoretical findings, we perform numerical simulations using the Forward Euler method adapted for fractional-order systems. These simulations illustrate the impact of the fractional order on the system’s dynamic behavior and confirm the analytical results regarding equilibrium stability.

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Journal Info

Abbrev

IJRCS

Publisher

Subject

Control & Systems Engineering Electrical & Electronics Engineering

Description

International Journal of Robotics and Control Systems is open access and peer-reviewed international journal that invited academicians (students and lecturers), researchers, scientists, and engineers to exchange and disseminate their work, development, and contribution in the area of robotics and ...