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Fractional Langevin Equation to Describe Anomalous Diffusion
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KOBELEV V.
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ROMANOV E.
… A Langevin equation with a special type of additive random source is considered.This random force presents a fractional order derivative of white noise, and leads to a power-law time behavior of the mean square displacement of a particle, with the power exponent being noninteger.More general equation containing fractional time differential operators instead of usual ones is also proposed to describe anomalous diffusion processes.Such equation can be regarded as corresponding to systems with incomplete …
Progress of theoretical physics. Supplement (139), 470-476, 2000-07-14
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