In this article, we establish the existence of solutions of a system of integro-differential equations arising in population dynamics in the case of anomalous diffusion. The proof of the existence of solutions is based on a fixed point technique. Solvability conditions for elliptic operators without the Fredholm property in unbounded domains are used.
"Existence of stationary solutionsfor some systems of integro-differentialequations with superdiffusion." Rocky Mountain J. Math. 47 (3) 955 - 970, 2017. https://doi.org/10.1216/RMJ-2017-47-3-955