Fokker-Planck type equations associated with subordinated processes controlled by tempered \(\alpha \)-stable processes

DOI10.1007/s10955-013-0754-4zbMath1276.82045OpenAlexW2461162780MaRDI QIDQ372914

Hui Gu, Jin-Rong Liang, Yun-Xiu Zhang

Publication date: 21 October 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-013-0754-4

zbMATH Keywords

Fokker-Planck equationanomalous diffusionsubordinated processestempered \(\alpha \)-stable processes

Mathematics Subject Classification ID

Diffusion processes (60J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (4)

Modified cumulative distribution function in application to waiting time analysis in the continuous time random walk scenario ⋮ The subordinated processes controlled by a family of subordinators and corresponding Fokker–Planck type equations ⋮ Fokker-Planck type equations associated with fractional Brownian motion controlled by infinitely divisible processes ⋮ Modeling anomalous diffusion by a subordinated integrated Brownian motion

Cites Work

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• On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations
• Fractional Fokker-Planck equation and Black-Scholes formula in composite-diffusive regime
• Stochastic representation of subdiffusion processes with time-dependent drift
• Operators associated with a stochastic differential equation driven by fractional Brownian motions
• Tempering stable processes
• Stochastic modeling in nanoscale biophysics: subdiffusion within proteins
• Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownian motion
• The fundamental solution of the space-time fractional diffusion equation
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Fractional Langevin equation with α-stable noise. A link to fractional ARIMA time series
• Fractional Brownian Motions, Fractional Noises and Applications
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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