Riemann–Liouville and Weyl fractional oscillator processes


Lim, S. C. and Eab, Chai Hok (2006) Riemann–Liouville and Weyl fractional oscillator processes. Physics Letters A, 355 (2). p. 87. ISSN 0375-9601

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Two types of oscillator processes can be obtained as solutions to fractional Langevin equation based on Riemann-Liouville and Weyl fractional integro-differential operators. The relation between these fractional oscillator processes and the corresponding fractional Brownian motion is considered. Generalization of the Weyl fractional oscillator process to positive temperature can be carried out and its partition function can be calculated using the zeta function regularization method. (c) 2006 Elsevier B.V. All rights reserved.

Item Type: Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Engineering (FOE)
Depositing User: Ms Rosnani Abd Wahab
Date Deposited: 23 Sep 2011 03:36
Last Modified: 28 Jan 2014 03:07
URII: http://shdl.mmu.edu.my/id/eprint/1953


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