Cauchy Problem for Fractional Diffusion Equations
Eidelman, Samuil D. ; Kochubei, Anatoly N.
arXiv, 0310271 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-10-17
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  26A33, 35K15, 35S99 
@article{0310271,
     author = {Eidelman, Samuil D. and Kochubei, Anatoly N.},
     title = {Cauchy Problem for Fractional Diffusion Equations},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310271}
}

Eidelman, Samuil D.; Kochubei, Anatoly N. Cauchy Problem for Fractional Diffusion Equations. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310271/