Synchronization results for a class of fractional-order spatiotemporal partial differential systems based on fractional Lyapunov approach. (English) Zbl 1503.35271
Summary: 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.
MSC:
| 35R11 | Fractional partial differential equations |
| 35A15 | Variational methods applied to PDEs |
| 35K57 | Reaction-diffusion equations |
Keywords:
fractional calculus; synchronization; fractional Lyapunov approach; reaction-diffusion systems; Lengyel-Epstein systemsReferences:
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