A NOTE ON THE INCOMPATIBILITY OF AUTONOMOUS FRACTIONAL DIFFERENTIAL SYSTEMS AND FRACTIONAL DERIVATIVES WITH NON-SINGULAR KERNELS

This paper addresses a critical oversight in the modeling of autonomous fractional differential systems using fractional derivatives with non-singular kernels such as the Caputo-Fabrizio (CF) and Atangana-Baleanu-Caputo (ABC) derivatives. We demonstrate that for such systems to be well defined, the initial condition must be an equilibrium point, which significantly limits the practical applicability of these models, a fact often overlooked in existing studies, leading to incorrect conclusions.