Space-time fractional derivative operators

被引：43

作者：

Baeumer, B ^{[1
]}

Meerschaert, MM

Mortensen, J

机构：

[1] Univ Otago, Dept Math & Stat, Dunedin, New Zealand

[2] Univ Nevada, Dept Phys, Reno, NV 89557 USA

[3] Univ Nevada, Dept Math, Reno, NV 89557 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 08期

关键词：

evolution equation; anomalous diffusion; fractional derivative;

D O I：

10.1090/S0002-9939-05-07949-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Evolution equations for anomalous diffusion employ fractional derivatives in space and time. Linkage between the space-time variables leads to a new type of fractional derivative operator. This paper develops the mathematical foundations of those operators.

引用

页码：2273 / 2282

页数：10

共 31 条

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[Anonymous], 1968, LIMIT DISTRIBUTIONS

[2]

[Anonymous], CHANCE STABILITY STA

[3]

ARENDT W, 2001, VECTOR VALUED

[4]

Baeumer B., 2001, FRACT CALCU APPL ANA, V4, P481