16-3 Vitali Vougalter, Vitaly Volpert

Solvability of some integro-differential equations with anomalous diffusion (306K, pdf) Jan 10, 16

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Abstract. The paper is devoted to the existence of solutions of an integro-differential equation in the case of anomalous diffusion with the Laplace operator in a fractional power. 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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