Twist of fractional oscillations

Details Twist of fractional oscillations Twist of fractional oscillations

2011-11-14

arxiv.org/abs/1111.5298v1

Physica A 354, 101(2005)

Physics

Mathematical Physics

12 pages, 2 figures

Scientific paper

10.1016/j.physa.2005.02.033

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.

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