Anomalous diffusion with memory that depends on time and coordinates.
type: Item
instance of: scholarly article
title: Anomalous diffusion with memory that depends on time and coordinates.
zbMATH Open document ID: 1073.35522
author: Ya. L. Kobelev
author: L. Ya. Kobelev
author: Yu. L. Klimontovich
published in: Doklady Physics
publication date: 2004-09-08T00:00:00Z
review text: The authors consider an equation of anomalous diffusion with fractional derivative of Riemann-Liouville type. These equations describe non-Markovian processes with constant memory. Approximation for weak memory is analyzed and three new factors are outlined: dependence of the diffusion coefficient on time, presence of a ``force'' due to fractal media, and one more term without derivatives. As an example there is studied the anomalous diffusion in media with periodic dependence of memory on time and coordinates.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 82C05
zbMATH DE Number: 2099598
zbMATH Keywords: anomalous diffusion
zbMATH Keywords: non-Markovian processes
zbMATH Keywords: Riemann-Liouville derivative
zbMATH Keywords: Gauss distribution
zbMATH Keywords: weak memory
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2099598