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

Authors :
Mesdoui, Fatiha
Shawagfeh, Nabil
Ouannas, Adel
Source :
Mathematical Methods in the Applied Sciences. 1/15/2021, Vol. 44 Issue 1, p1003-1012. 10p.
Publication Year :
2021

Abstract

This study considers the problem of control and synchronization between fractional‐order and integer‐order, N‐components reaction‐diffusion systems with nonidentical coefficients and different nonlinear parts. The control scheme is designed using the Lyapunov direct method. The results are exemplified by two significant biochemical models, namely, the fractional‐order Lengyel‐Epstein model and the Gray‐Scott model. To illustrate the effectiveness of the proposed scheme, numerical simulations are performed in one and two space dimensions using Homotopy Analysis Method (HAM). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
44
Issue :
1
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
147335930
Full Text :
https://doi.org/10.1002/mma.6807