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arXiv:math/0310271 [math.AP]AbstractReferencesReviewsResources

Cauchy Problem for Fractional Diffusion Equations

Samuil D. Eidelman, Anatoly N. Kochubei

Published 2003-10-17, updated 2012-06-24Version 2

We consider an evolution equation with the regularized fractional derivative of an order $\alpha \in (0,1)$ with respect to the time variable, and a uniformly elliptic operator with variable coefficients acting in the spatial variables. Such equations describe diffusion on inhomogeneous fractals. A fundamental solution of the Cauchy problem is constructed and investigated.

Comments: Version 2 contains a correction (formula 4.14) as compared with the published text
Journal: J. Diff. Equat. 199 (2004), 211-255
Categories: math.AP, math-ph, math.MP
Subjects: 26A33, 35K15, 35S99
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