Twist of fractional oscillations
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.
Year of publication: |
2005
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Authors: | Stanislavsky, Aleksander A. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 354.2005, C, p. 101-110
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Publisher: |
Elsevier |
Subject: | Oscillation | Laplace transform | Decomposition | Fractional differential equation | Mittag–Leffler function |
Saved in:
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