FROM RANDOM TIMES TO FRACTIONAL KINETICS

Kochubei AN, Kondratiev Y, da Silva JL. FROM RANDOM TIMES TO FRACTIONAL KINETICS. INTERDISCIPLINARY STUDIES OF COMPLEX SYSTEMS. 2019;16:5-32.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