Journal
PHYSICS LETTERS A
Volume 372, Issue 42, Pages 6309-6320Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2008.08.045
Keywords
Fractional Langevin equation; Weyl and Riemann-Liouville fractional derivatives; Short range dependence; Fractal dimension
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A new type of fractional Langevin equation of two different orders is introduced. The solutions for this equation, known as the fractional Ornstein-Uhlenbeck processes, based on Weyl and Riemann-Liouville fractional derivatives are obtained. The basic properties of these processes are studied. An example of the spectral density of ocean wind speed which has similar spectral density as that of Weyl fractional Ornstein-Uhlenbeck process is given. (C) 2008 Published by Elsevier B.V.
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