21-12 Vitali Vougalter
On the solvability of some systems of integro-differential equations with anomalous diffusion in higher dimensions (181K, pdf) Mar 4, 21
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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.

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