Twist of fractional oscillations
Mathematical Physics
2011-11-23 v1 math.MP
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
Cite
@article{arxiv.1111.5298,
title = {Twist of fractional oscillations},
author = {Aleksander Stanislavsky},
journal= {arXiv preprint arXiv:1111.5298},
year = {2011}
}
Comments
12 pages, 2 figures