Analysis of forced oscillations of a fractional oscillator

A model of forced oscillations of an oscillator based on the fractional integro-differential formalism has been considered. It is shown that this model is in good agreement with the classical model of forced oscillations of an oscillator with viscous damping. The parameters of the frequency dependence of stationary oscillations of a fractional oscillator are calculated, and the relationship between the order of fractional derivative in the differential equation of oscillations and the Q factor of the system is determined.