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Zbl 0995.70017
Narahari Achar, B.N.; Hanneken, John W.; Clarke, T.
Response characteristics of a fractional oscillator. (English)
[J] Physica A 309, No.3-4, 275-288 (2002). ISSN 0378-4371

Summary: The integral equation of motion of a driven fractional oscillator is obtained by generalizing the corresponding equation of motion of a driven harmonic oscillator to include integrals of arbitrary order according to the methods of fractional calculus. The Green's function solution for the fractional oscillator is obtained in terms of Mittag-Leffler functions using Laplace transforms. The response and resonance characteristics of the fractional oscillator are studied for several cases of forcing function.

MSC 2000:: *70J35 Forced motions

Keywords: integral equation of motion; Green function solution; Mittag-Leffler functions; fractional oscillator; Laplace transform; resonance

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Zentralblatt MATH Berlin [Germany]