- 16-22 Vitali Vougalter, Vitaly Volpert
- On the solvability of some systems of integro-differential equations with anomalous diffusion
Mar 1, 16
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Abstract. The article deals with the existence of solutions of a system of integro-differential equations in the case of anomalous diffusion with the Laplacian in a fractional power. The proof of existence of solutions is based on a fixed point technique. Solvability conditions for non Fredholm elliptic operators in unbounded domains are used.