Stochastic foundations of fractional dynamics

被引：260

作者：

Compte, A

机构：

[1] Department de Física, Física Estadística, Universitat Autònoma de Barcelona, Bellaterra, Catalonia

来源：

PHYSICAL REVIEW E | 1996年 / 53卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.53.4191

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

It is shown that fractional diffusion equations arise very naturally as the limiting dynamic equations of all continuous time random walks with decoupled temporal and spatial memories and with either temporal or spatial scale invariance (fractal walks), thus enlarging their stochastic foundations hitherto restricted to a particular case of fractal walk [R. Hilfer and L. Anton, Phys. Rev. E 51, R848 (1995)].

引用

页码：4191 / 4193

页数：3

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