Work

Cauchy Problem for Fractional Diffusion Equations

Year: 2003

Type: preprint

Abstract: We consider an evolution equation with the regularized fractional derivative of an order $α\in (0,1)$ 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0310271

Authors: Eidelman, Samuil D., Kochubei, Anatoly N.

Institutions: National Academy of Sciences of Ukraine, Institute of Mathematics

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2949428727

Cites: 5

Cited by: 3

Related to: 20