Vitali Vougalter
On the solvability of some systems of integro-differential equations with 
anomalous diffusion in higher dimensions
(181K, pdf)

ABSTRACT.  The article deals with the studies of the existence of solutions of a system 
of integro-differential equations in the case of the anomalousdiffusion with 
the negative Laplace operator in a fractional power in R^d, d=4,5. The proof 
of the existence of solutions is based on a fixed point technique. Solvability 
conditions for non Fredholm elliptic operators in unbounded domains are used.