Anomalous diffusion and fractional diffusion equation: anisotropic media and external forces

被引：23

作者：

de Andrade, MR ^{[1
]}

Lenzi, EK ^{[1
]}

Evangelista, LR ^{[1
]}

Mendes, RS ^{[1
]}

Malacarne, LC ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Fis, BR-87020900 Maringa, Parana, Brazil

来源：

PHYSICS LETTERS A | 2005年 / 347卷 / 4-6期

关键词：

D O I：

10.1016/j.physleta.2005.07.090

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze a fractional diffusion equation by taking an anisotropic case into account. In our analysis, we also consider a spatial time dependent diffusion coefficient and the presence of external forces in the system. For the cases analyzed here, we obtain exact solutions and show that the solutions have an anomalous spreading. In addition, we discuss a rich class of diffusive processes, including normal and anomalous ones described by this equation. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：160 / 169

页数：10

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