ASYMPTOTIC BEHAVIOUR OF THE TIME-FRACTIONAL TELEGRAPH EQUATION

被引：0

作者：

Vergara, Vicente ^{[1
]}

机构：

[1] Univ Tarapaca, Inst Alta Invest, Arica, Chile

来源：

JOURNAL OF APPLIED PROBABILITY | 2014年 / 51卷 / 03期

关键词：

Telegraph equation; fractional derivative; Mittag-Leffler function; Tauberian theorem;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We obtain the long-time behaviour to the variance of the distribution process associated with the solution of the telegraph equation. To this end, we use a version of the Karamata-Feller Tauberian theorem.

引用

页码：890 / 893

页数：4

共 8 条

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[2] [Anonymous], 2006, Journal of the Electrochemical Society
[3] Feller W., 1991, An Introduction to Probability Theory and Its Applications
[4] Time-fractional telegraph equations and telegraph processes with Brownian time
Orsingher, E
Beghin, L
[J]. PROBABILITY THEORY AND RELATED FIELDS, 2004, 128 (01) : 141 - 160
[5] Podlubny I., 1999, FRACTIONAL DIFFERENT
[6] Pruss J., 1993, EVOLUTIONARY INTEGRA, DOI 10.1007/978-3-0348-8570-6
[7] Samko A. A., 1993, Fractional Integrals andDerivatives: Theory and Applications
[8] Vergara V., 2013, OPTIMAL DECAY ESTIMA

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