Shadi Amiri Mohammad Keyanpour


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.

Article Details


Backstepping;, Stability;, Fractional-order cascaded systems.

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How to Cite
AmiriS., & KeyanpourM. (2020). On the stabilization of a coupled fractional ordinary and partial differential equations†. Iranian Journal of Numerical Analysis and Optimization, 10(1), 177-193. https://doi.org/10.22067/ijnao.v10i1.84902
Research Article