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• W2159596543 abstract "Ultraslow diffusion is a physical model in which a plume of diffusing particles spreads at a logarithmic rate. Governing partial differential equations for ultraslow diffusion involve fractional time derivatives whose order is distributed over the interval from zero to one. This paper develops the stochastic foundations for ultraslow diffusion based on random walks with a random waiting time between jumps whose probability tail falls off at a logarithmic rate. Scaling limits of these random walks are subordinated random processes whose density functions solve the ultraslow diffusion equation. Along the way, we also show that the density function of any stable subordinator solves an integral equation (5.15) that can be used to efficiently compute this function." @default.
• W2159596543 created "2016-06-24" @default.
• W2159596543 creator A5017384955 @default.
• W2159596543 creator A5052363359 @default.
• W2159596543 date "2006-09-01" @default.
• W2159596543 modified "2023-09-25" @default.
• W2159596543 title "Stochastic model for ultraslow diffusion" @default.
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• W2159596543 doi "https://doi.org/10.1016/j.spa.2006.01.006" @default.
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