Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Spectral analysis of fractional hyperbolic diffusion equations with random data

Leonenko, Nikolai ORCID: 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

[thumbnail of Leonenko-Vaz2020_Article_SpectralAnalysisOfFractionalHy.pdf]
PDF - Published Version
Available under License Creative Commons Attribution.

Download (2MB) | Preview


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

Citation Data

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

Actions (repository staff only)

Edit Item Edit Item


Downloads per month over past year

View more statistics