From random times to fractional kinetics

Автор(и)

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

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.

Посилання

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2020-05-23

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Математика. Філософські аспекти математики