The space-fractional telegraph equation and the related fractional telegraph process

被引：62

作者：

Orsingher, E

Zhao, XL

机构：

[1] Univ Roma La Sapienza, Rome, Italy

[2] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2003年 / 24卷 / 01期

关键词：

fractional calculus; Marchaud's derivative; Weyl's derivative; Riesz potential; telegraph equation; stable processes;

D O I：

10.1142/S0252959903000050

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The space-fractional telegraph equation is analyzed and the Fourier transform of its fundamental solution is obtained and discussed. A symmetric process with discontinuous trajectories, whose transition function satisfies the space-fractional telegraph equation, is presented. Its limiting behaviour and the connection with symmetric stable processes is also examined.

引用

页码：45 / 56

页数：12

共 9 条

[1]

FELLER W, 1952, MEDDELANDEN U MATEMA, V21, P73

[2]

FUJITA Y, 1990, OSAKA J MATH, V27, P309

[3]

Kilbas AA, 1993, Fractional Integral and Derivatives: Theory and Applications

[4] PROBABILITY LAW, FLOW FUNCTION, MAXIMUM DISTRIBUTION OF WAVE-GOVERNED RANDOM MOTIONS AND THEIR CONNECTIONS WITH KIRCHOFF LAWS [J].