Solvability of some integro-differential equations with the double scale anomalous diffusion in higher dimensions

The article is devoted to the studies of the existence of solutions of an integro-differential equation in the case of the double scale anomalous diffusion with the sum of the two negative Laplacians raised to two distinct fractional powers in Rd,d=4,5. The proof of the existence of solutions is based on a fixed point technique. Solvability conditions for the non-Fredholm elliptic operators in unbounded domains are used. © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2023.