On fractional spherically restricted hyperbolic diffusion random field

Leonenko, N. ORCID: https://orcid.org/0000-0003-1932-4091, Olenko, A. and Vaz, J. 2024. On fractional spherically restricted hyperbolic diffusion random field. Communications in Nonlinear Science and Numerical Simulation 131 , 107866. 10.1016/j.cnsns.2024.107866 Item availability restricted.

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Abstract

The paper investigates solutions of the fractional hyperbolic diffusion equation in its most general form with two fractional derivatives of distinct orders. The solutions are given as spatial–temporal homogeneous and isotropic random fields and their spherical restrictions are studied. The spectral representations of these fields are derived and the associated angular spectrum is analysed. The obtained mathematical results are illustrated by numerical examples. In addition, the numerical investigations assess the dependence of the covariance structure and other properties of these fields on the orders of fractional derivatives.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Elsevier
ISSN:	1007-5704
Date of First Compliant Deposit:	22 January 2024
Date of Acceptance:	19 January 2024
Last Modified:	25 Jan 2024 16:25
URI:	https://orca.cardiff.ac.uk/id/eprint/165712

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