Iranian Journal of Numerical Analysis and Optimization (Apr 2020)
On the stabilization of a coupled fractional ordinary and partial differential equations†
Abstract
We investigate the stabilization problem of a cascade of a fractional ordinary differential equation (FODE) and a fractional diffusion (FD) equation, where the interconnections are of Neumann type. We exploit the PDE back stepping method as a powerful tool for designing a controller to show the Mittag–Leffler stability of the FD-FODE cascade. Finally, numerical simulations are presented to verify the results.
Keywords