Anomalous diffusion, nonlinear fractional Fokker–Planck equation and solutions

We obtain new exact classes of solutions for the nonlinear fractional Fokker–Planck-like equation ∂tρ=∂x{D(x)∂μ−1xρν−F(x)ρ} by considering a diffusion coefficient D=D|x|−θ(θ∈R and D>0) and a drift force F=−k1x+k̄γx|x|γ−1(k1,k̄γ,γ∈R). Connection with nonextensive statistical mechanics based on Tsallis entropy is also discussed.

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Year of publication:	2003
Authors:	Lenzi, E.K. ; Malacarne, L.C. ; Mendes, R.S. ; Pedron, I.T.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 319.2003, C, p. 245-252
Publisher:	Elsevier
Subject:	Anomalous diffusion \| Fokker–Planck equation \| Tsallis entropy

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011059298