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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Official URL: https://doi.org/10.1007/s10955-020-02520-4
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 |
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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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