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Mathematics > Probability

arXiv:1811.10531 (math)
[Submitted on 15 Nov 2018]

Title:From Random Times to Fractional Kinetics

Authors: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.
Comments: 39 pages
Subjects: Probability (math.PR); Mathematical Physics (math-ph)
MSC classes: 35C07, 35B40, 34A08
Cite as: arXiv:1811.10531 [math.PR]
  (or arXiv:1811.10531v1 [math.PR] for this version)
  https://doi.org/10.48550/arXiv.1811.10531
Journal reference: Interdisciplinary Studies of Complex Systems, No. 16, 2020, 5-32
Related DOI: https://doi.org/10.31392/iscs.2020.16.005

Submission history

From: José Luís da Silva Dr. [view email]
[v1] Thu, 15 Nov 2018 23:16:03 UTC (24 KB)
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