Anomalous diffusion, nonlinear fractional Fokker–Planck equation and solutions

E.K. Lenzi, L.C. Malacarne, R.S. Mendes and I.T. Pedron

Physica A: Statistical Mechanics and its Applications, 2003, vol. 319, issue C, 245-252

Abstract: 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.

Keywords: Anomalous diffusion; Fokker–Planck equation; Tsallis entropy (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:319:y:2003:i:c:p:245-252

DOI: 10.1016/S0378-4371(02)01495-4

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