From Random Times to Fractional Kinetics
Probability
2020-06-25 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1811.10531,
title = {From Random Times to Fractional Kinetics},
author = {Anatoly N. Kochubei and Yuri Kondratiev and José Luís da Silva},
journal= {arXiv preprint arXiv:1811.10531},
year = {2020}
}
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39 pages