Spectral analysis of fractional hyperbolic diffusion equations with random data

Leonenko, Nikolai 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

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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:	29 May 2020 10:23
URI:	http://orca.cf.ac.uk/id/eprint/130162

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