Notes on “stability and chaos control of regularized Prabhakar fractional dynamical systems without and with delay”

Abstract

Lyapunov stability theorem is extended to these systems. But the proof process is wrong as the memory property of fractional calculus. It is necessary to point out these errors to avoid misleading. Finally, a counterexample is proposed against the proposed theorem.

Polynomial decay of a linear system of PDEs via Caputo fractional‐time derivative

“…In the literature [23][24][25], the authors studied the stability and some applications of a class of linear fractional operators, and compered the behave of both fractional-and integer-order derivative. The finite-time stability and stabilization of time-delay systems have been investigated in previous works [19,[26][27][28].…”