Stanislavsky, Aleksander A. - In: Physica A: Statistical Mechanics and its Applications 354 (2005) C, pp. 101-110
Using the method of the Laplace transform, we consider fractional oscillations. They are obtained by the time-clock randomization of ordinary harmonic vibrations. In contrast to sine and cosine, the functions describing the fractional oscillations exhibit a finite number of damped oscillations...