On the asymptotic stability of the time-fractional Lengyel–Epstein system

Djamel Mansouri; Salem Abdelmalek; Samir Bendoukha

doi:10.1016/j.camwa.2019.04.015

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$On the asymptotic stability of the time-fractional Lengyel–Epstein system$

Journal article

Peer reviewed

On the asymptotic stability of the time-fractional Lengyel–Epstein system

Djamel Mansouri, Salem Abdelmalek and Samir Bendoukha

Computers & mathematics with applications (1987), Vol.78(5), pp.1415-1430

01/09/2019

DOI: https://doi.org/10.1016/j.camwa.2019.04.015

Abstract

Asymptotic stability

Fractional calculus

Fractional Lengyel–Epstein system

Fractional Lyapunov method

This paper concerns a time fractional version of the conventional Lengyel–Epstein CIMA reaction model. We define the invariant regions of the system and establish sufficient conditions for the unique equilibrium’s local and global asymptotic stability. Numerical results are presented to illustrate the effect of the fractional order on system dynamics.

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Title: On the asymptotic stability of the time-fractional Lengyel–Epstein system
Creators - without role: Djamel Mansouri - Department of Mathematics, ICOSI laboratory, University Abbes Laghrour, Khenchela, Algeria
Salem Abdelmalek - Department of Mathematics and Informatics, Faculty of Exact Sciences and Natural Sciences and Life, University of Larbi Tebessi, Tebessa, 12002, Algeria
Samir Bendoukha - Taibah University
Publication Details: Computers & mathematics with applications (1987), Vol.78(5), pp.1415-1430
Publisher: Elsevier Ltd
Identifiers: 9929939308331
Academic Unit: Taibah University
Language: English
Resource Type: Journal article