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math.AP2018
On the asymptotic stability of the time--fractional Lengyel--Epstein system
Djamel Mansouri, Salem Abdelmalek, Samir Bendoukha
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 condi…
math.AP2018
On the complete synchronization of a time-fractional reaction-diffusion system with the Newton-Leipnik nonlinearity
Djamel Mansouri, Salem Abdelmalek, Samir Bendoukha +1
In this paper, we consider a time-fractional reaction-diffusion system with the same nonlinearities of the Newton-Leipnik chaotic system. Through analytical tools and numerical res…