Fractional diffusion equations with internal degrees of freedom

被引：0

作者：

Vázquez, L

机构：

[1] Univ Complutense, Fachbereich Informat, Dept Matemat Aplicada, E-28040 Madrid, Spain

[2] CSIC, INTA, Ctr Astrobiol, E-28850 Madrid, Spain

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2003年 / 21卷 / 04期

关键词：

fractional derivative; diffunors; diffusion process; generalized Dirac equation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a generalization of the linear one-dimensional diffusion equation by combining the fractional derivatives and the internal degrees of freedom. The solutions are constructed from those of the scalar fractional diffusion equation. We analyze the interpolation between the standard diffusion and wave equations defined by the fractional derivatives. Our main result is that we can define a diffusion process depending on the internal degrees of freedom associated to the system.

引用

页码：491 / 494

页数：4

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