From Random Times to Fractional Kinetics
arXiv:1811.10531 · doi:10.31392/iscs.2020.16.005
Abstract
In this paper we study the effect of the subordination by a general random time-change to the solution of a model on spatial ecology in terms of its evolution density. In particular on traveling waves for a non-local spatial logistic equation. We study the Cesaro limit of the subordinated dynamics in a number of particular cases related to the considered fractional derivative making use of the Karamata-Tauberian theorem.
39 pages