Chapter 1: Complete synchronization of the time-fractional Chua reaction–diffusion system

Lamia Djebaraa; Salem Abdelmalekb; Samir Bendoukhac    aDepartment of Mathematics and Computer Science, ICOSI Laboratory, University of Khenchela, Khenchela, AlgeriabDepartment of Mathematics and Computer Science, University of Larbi Tebessi, Tebessa, AlgeriacElectrical Engineering Department, College of Engineering at Yanbu, Taibah University, Yanbu, Saudi Arabia

Abstract

In this chapter, we are interested in studying the time-fractional chaotic reaction–diffusion system corresponding to the original Chua system with the same nonlinearity. We propose a one-dimensional adaptive synchronization strategy, whereby we assume knowledge of one of the states and reconstruct ...

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