Multidimensional solutions of time-fractional diffusion-wave equations

被引：120

作者：

Hanyga, A ^{[1
]}

机构：

[1] Univ Bergen, Inst Solid Earth Phys, N-5007 Bergen, Norway

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2002年 / 458卷 / 2020期

关键词：

diffusion; Q factor; fractional calculus; stable probability distributions;

D O I：

10.1098/rspa.2001.0904

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Green's functions and propagator functions for the time-fractional generalized diffusion-wave equation in one and three dimensions are expressed in terms of Wright functions. In two dimensions they are expressed in terms of an integral involving the Macdonald function. Their properties are studied analytically and numerically.

引用

页码：933 / 957

页数：25

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