title: Fractional oscillator.
abstract: We consider a fractional oscillator which is a generalization of the conventional linear oscillator in the framework of fractional calculus. It is interpreted as an ensemble average of ordinary harmonic oscillators governed by a stochastic time arrow. The intrinsic absorption of the fractional oscillator results from the full contribution of the harmonic oscillator ensemble: these oscillators differ a little from each other in frequency so that each response is compensated by an antiphase response of another harmonic oscillator. This allows one to draw a parallel in the dispersion analysis for media described by a fractional oscillator and an ensemble of ordinary harmonic oscillators with damping. The features of this analysis are discussed.
authors.affiliation: Institute of Radio Astronomy, 4 Chervonopraporna Street, Kharkov 61002, Ukraine. akexstan@ira.kharkov.ua
authors.forename: A A
authors.initials: AA
authors.lastname: Stanislavsky