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arXiv · 1811.10531

From Random Times to Fractional Kinetics

Anatoly N. Kochubei·Yuri Kondratiev·José Luís da Silva
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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.

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Anatoly N. Kochubei, Yuri Kondratiev, José Luís da Silva. 2018-11-15. From Random Times to Fractional Kinetics. https://doi.org/10.31392/iscs.2020.16.005

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