Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9727626 | Physica A: Statistical Mechanics and its Applications | 2005 | 10 Pages |
Abstract
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 with an algebraic decay. Their fractional differential equation is derived.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Aleksander A. Stanislavsky,