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arXiv · 1809.10544

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

Djamel Mansouri·Salem Abdelmalek·Samir Bendoukha
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Abstract

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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Djamel Mansouri, Salem Abdelmalek, Samir Bendoukha. 2018-09-27. On the asymptotic stability of the time--fractional Lengyel--Epstein system. https://arxiv.org/abs/1809.10544

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