Cauchy problem for fractional diffusion equations

Volume: 199, Issue: 2, Pages: 211 - 255
Published: May 20, 2004
Abstract
null null We consider an evolution equation with the regularized fractional derivative of an order null α ∈(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...
Paper Details
Title
Cauchy problem for fractional diffusion equations
Published Date
May 20, 2004
Volume
199
Issue
2
Pages
211 - 255
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