Global synchronization of fractional‐order and integer‐order N component reaction diffusion systems: Application to biochemical models

F Mesdoui, N Shawagfeh… - Mathematical Methods in …, 2021 - Wiley Online Library
This study considers the problem of control and synchronization between fractional‐order
and integer‐order, N‐components reaction‐diffusion systems with nonidentical coefficients …

Nonnegativity, convergence and bounds of non-homogeneous linear time-varying real-order systems with application to electrical circuit system

BK Lenka, SN Bora - Circuits, Systems, and Signal Processing, 2023 - Springer
Non-homogeneous real-order systems often arise in the construction of equations arising in
many inequality systems. This paper considers non-homogeneous linear systems attached …

A hybrid approach for synchronizing between two reaction–diffusion systems of integer-and fractional-order applied on certain chemical models

B Wang, A Ouannas, Y Karaca, WF **a, H Jahanshahi… - Fractals, 2022 - World Scientific
In this study, a synchronization problem for spatio-temporal partial differential systems is
addressed and researched within a subjectivist framework. In light of Lyapunov direct …

Numerical study and stability of the Lengyel–Epstein chemical model with diffusion

ZUA Zafar, Z Shah, N Ali, P Kumam… - Advances in Difference …, 2020 - Springer
In this paper, a nonlinear mathematical model with diffusion is taken into account to review
the dynamics of Lengyel–Epstein chemical reaction model to describe the oscillating …

[HTML][HTML] Metzler asymptotic stability of initial time linear time-varying real-order systems

BK Lenka, SN Bora - Franklin Open, 2023 - Elsevier
Determining the asymptotics of many time-varying systems associated with real orders
remains a challenging issue in qualitative asymptotic theory. This paper introduces a new …

An analytical studies of the reaction-diffusion systems of chemical reactions

Z Pinar - International Journal of Applied and Computational …, 2021 - Springer
Reaction–diffusion systems are seen in not only many fields of science but also social
behaviorus. In this work, Schnakenberg, Brusselator and Lengyel–Epstein models are …

Qualitative analysis and Hopf bifurcation of a generalized Lengyel–Epstein model

M Chen, T Wang - Journal of Mathematical Chemistry, 2023 - Springer
In this present paper, we deal with a generalized Lengyel–Epstein model with the zero-flux
boundary conditions. Firstly, we give an attraction region and the boundedness estimates of …

RETRACTED ARTICLE: Fractional order Lengyel–Epstein chemical reaction model

ZUA Zafar - Computational and Applied Mathematics, 2019 - Springer
The proposed model in this study is the fractional order differential equations system with
multi-orders of the dimensionless Lengyel–Epstein model being the oscillating chemical …

On the complete synchronization of a time-fractional reaction–diffusion system with the Newton–Leipnik nonlinearity

D Mansouri, S Bendoukha, S Abdelmalek… - Applicable …, 2021 - Taylor & Francis
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 …

Dynamical analysis of a local lengley-epstein system coupled with fractional delayed differential equations

E Balcı - Journal of Mathematical Sciences and Modelling, 2023 - dergipark.org.tr
We consider a system of fractional delayed differential equations. The ordinary differential
version of the system without delay is introduced in the Lengyel-Epstein reaction-diffusion …