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N-dimensional fractional diffusion equation and Green function approach: spatially dependent diffusion coefficient and external force.

作者信息

Lenzi E K, Mendes R S, Andrade J S, da Silva L R, Lucena L S

机构信息

Departamento de Física, Universidade Estadual de Maringá, Avenida Colombo 5790, 87020-900 Maringá PR, Brazil.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 May;71(5 Pt 1):052101. doi: 10.1103/PhysRevE.71.052101. Epub 2005 May 16.

Abstract

We investigate an N-dimensional fractional diffusion equation with radial symmetry by using the Green function approach. We consider, in our analysis, the spatial dependence on the diffusion coefficient and the presence of an external force. In particular, we employ boundary conditions in a finite interval and after we extend it to a semi-infinite interval. We also show that a rich class of diffusive processes, including normal and anomalous ones, can be obtained from the solutions found here.

摘要

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