On the stabilization of a coupled fractional ordinary and partial differential equations†
نویسندگان
1 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.
2 Faculty of Mathematical Sciences, and Center of Excellence for Mathematical Modelling, Optimization and Combinational Computing (MMOCC), University of Guilan, Rasht, Iran.
doi
10.22067/ijnao.v10i1.84902چکیده
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.
