Iterated elastic Brownian motions and fractional diffusion equations
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Publication:1019619
DOI10.1016/j.spa.2008.10.001zbMath1226.60107OpenAlexW2074591280MaRDI QIDQ1019619
Publication date: 4 June 2009
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spa.2008.10.001
Mittag-Leffler functionsfractional diffusion equationselastic Brownian motioniterated Brownian motions
Fractional processes, including fractional Brownian motion (60G22) Brownian motion (60J65) Special processes (60K99) Diffusion processes (60J60) Mittag-Leffler functions and generalizations (33E12)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Reaction-diffusion systems and nonlinear waves
- Time-fractional telegraph equations and telegraph processes with Brownian time
- Integrodifferential equation which interpolates the heat equation and the wave equation
- Brownian-time processes: The PDE connection and the half-derivative generator
- Iterated Brownian motion in an open set.
- Iterated law of iterated logarithm
- Chung's law of the iterated logarithm for iterated Brownian motion
- Analytical solution for the time-fractional telegraph equation by the method of separating variables
- Solution of semi-boundless mixed problem for time-fractional telegraph equation
- Brownian motions on a half line
- Brownian-time processes: The PDE connection II and the corresponding Feynman-Kac formula
- The fractional diffusion equation
- Boundary Conditions for the Heat Equation in a Several-Dimensional Region
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