Fractional Feynman-Kac equation with space-dependent anomalous exponent

DOI10.1007/s10955-013-0810-0zbMath1277.82043OpenAlexW1966291535MaRDI QIDQ377766

Guo-Hua Li, Hong Zhang, Mao-Kang Luo

Publication date: 7 November 2013

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

Full work available at URL: https://doi.org/10.1007/s10955-013-0810-0

zbMATH Keywords

random walkanomalous diffusionanomalous exponentanomalous infiltrationtime-fractional Feynman-Kac equation

Mathematics Subject Classification ID

Diffusion processes (60J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)

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Cites Work

• Unnamed Item
• Feynman-Kac formula for the heat equation driven by fractional noise with Hurst parameter \(H < 1/2\)
• On distributions of functionals of anomalous diffusion paths
• Feynman-Kac formula for heat equation driven by fractional white noise
• Exponential functionals of Brownian motion. I: Probability laws at fixed time
• Exponential functionals of Brownian motion. II: Some related diffusion processes
• Functional Feynman-Kac equations for limit lognormal multifractals
• Residence time statistics for normal and fractional diffusion in a force field
• ON THE STOCHASTIC DEPENDENCE STRUCTURE OF THE LIMIT LOGNORMAL PROCESS
• Non-homogeneous Random Walks, Subdiffusive Migration of Cells and Anomalous Chemotaxis
• An Occupation Time Theorem for A Class of Stochastic Processes
• Fractional diffusion in inhomogeneous media
• On Distributions of Certain Wiener Functionals
• Statistics of the occupation time of renewal processes
• The random walk's guide to anomalous diffusion: A fractional dynamics approach