Vitali Vougalter
On the solvability of some systems of integro-differential equations with anomalous diffusion
(167K, pdf)

ABSTRACT.  The article deals with the existence of solutions of a system of integro- 
differential equations in the case of anomalous diffusion with the negative Laplacian 
in a fractional power in two dimensions. The proof of existence of solutions relies 
on a fixed point technique. Solvability conditions for elliptic operators without 
Fredholm property in unbounded domains are used.