From random times to fractional kinetics

Anatoly Kochubei; Yuri Kondratiev; Jose Luis da Silva

doi:10.31392/iscs.2020.16.005

Автор(и)

Anatoly Kochubei Institute of Mathematics of NASU, Kyiv, Україна
Yuri Kondratiev Bielefeld University, Germany and Dragomanov University, Kyiv, Україна
Jose Luis da Silva CIMA, University of Madeira, Португалія

DOI:

https://doi.org/10.31392/iscs.2020.16.005

Ключові слова:

Bernstein functions, general fractional derivative, conﬁguration space, Karamata’s Tauberian theorem, subordination principle, traveling waves

Анотація

In this paper we study the eﬀect of the subordination by a
general random time-change to the solution of a model on spatial eco-
logy 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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