Fundamental solutions to three-dimensional diffusion-wave equation and associated diffusive stresses

Y.Z. Povstenko

Chaos, Solitons & Fractals, 2008, vol. 36, issue 4, 961-972

Abstract: The theory of diffusive stresses based on the time-fractional diffusion equation is formulated. The fundamental solutions to the Cauchy problem and to the source problem as well as the associated stresses are obtained in the case of spherical symmetry. The numerical results for the concentration and stress distributions are presented graphically for various values of order of fractional derivative.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:4:p:961-972

DOI: 10.1016/j.chaos.2006.07.031

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