Spectral analysis of fractional hyperbolic diffusion equations with random data

Leonenko, Nikolai ORCID: https://orcid.org/0000-0003-1932-4091 and Vaz Jr., Jayme 2020. Spectral analysis of fractional hyperbolic diffusion equations with random data. Journal of Statistical Physics 179 , pp. 155-175. 10.1007/s10955-020-02520-4

Preview

PDF - Published Version Available under License Creative Commons Attribution. Download (2MB) | Preview

Abstract

The paper studies the fundamental solutions to fractional in time hyperbolic diffusion equation or telegraph equations and their properties. Then it derives the exact solutions of the fractional hyperbolic diffusion equation with random data in terms of series expansions of isotropic in space spherical random fields on the unit sphere. Numerical illustration are presented to illustrate the theoretical results.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Springer Verlag (Germany)
ISSN:	0022-4715
Date of First Compliant Deposit:	5 March 2020
Date of Acceptance:	6 March 2020
Last Modified:	09 May 2023 12:10
URI:	https://orca.cardiff.ac.uk/id/eprint/130162

Citation Data

Cited 3 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item