A note on stability of fractional logistic maps

In this note, we investigate the stability of fractional logistic maps. These fractional maps are special classes of nonautonomous difference equations, which generalize the classic logistic map to the fractional order case. For such fractional maps, we derive sufficient conditions for uniform asymptotic stability of their fixed points. The validity of the analytic results is illustrated by numerical simulations. (C) 2021 Elsevier Ltd. All rights reserved.