Synchronization results for a class of fractional-order spatiotemporal partial differential systems based on fractional Lyapunov approach

Abstract

Abstract In this paper, the problem of synchronization of a class of spatiotemporal fractional-order partial differential systems is studied. Subject to homogeneous Neumann boundary conditions and using fractional Lyapunov approach, nonlinear and linear control schemes have been proposed to synchronize coupled general fractional reaction–diffusion systems. As a numerical application, we investigate complete synchronization behaviors of coupled fractional Lengyel–Epstein systems.

Keywords

• Fractional calculus
• Synchronization
• Fractional Lyapunov approach
• Reaction–diffusion systems
• Lengyel–Epstein systems