A HYBRID APPROACH FOR SYNCHRONIZING BETWEEN TWO REACTION–DIFFUSION SYSTEMS OF INTEGER- AND FRACTIONAL-ORDER APPLIED ON CERTAIN CHEMICAL MODELS
Bo Wang, Adel Ouannas, Yeliz Karaca, Weifeng Xia, Hadi Jahanshahi, Abdulhameed F. Alkhateeb, Majid Nour
Abstract
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 method and some proposed nonlinear controllers, a new scheme is established to accomplish a full synchronization between two reaction–diffusion systems of integer- and fractional-order. In particular, a novel vector-valued control law is analytically derived to attain the desired synchronization between two chemical models, namely, the Lengyel–Epstein and Gray–Scott models. To validate the obtained theoretical results, further numerical simulations are carried out in 2D and 3D configurations.