18-90 Vitali Vougalter

On the solvability of some systems of integro-differential equations with anomalous diffusion (167K, pdf) Aug 26, 18

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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 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.

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