[图书][B] Mittag-Leffler functions, related topics and applications

R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin - 2020 - Springer
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

Regularity and asymptotics of densities of inverse subordinators

G Ascione, M Savov, B Toaldo - Transactions of the London …, 2024 - Wiley Online Library
In this article, densities (and their derivatives) of subordinators and inverse subordinators
are considered. Under minor restrictions, generally milder than the existing in the literature …

Random time change and related evolution equations. Time asymptotic behavior

AN Kochubei, YG Kondratiev… - Stochastics and …, 2020 - World Scientific
In this paper, we investigate the time asymptotic behavior of solutions to fractional in time
evolution equations which appear as results of random time changes in Markov processes …

Green's function estimates for time-fractional evolution equations

I Johnston, V Kolokoltsov - Fractal and fractional, 2019 - mdpi.com
We look at estimates for the Green's function of time-fractional evolution equations of the
form D 0+∗ ν u= L u, where D 0+∗ ν is a Caputo-type time-fractional derivative, depending …

Space-time duality for semi-fractional diffusions

P Kern, S Lage - Fractal geometry and stochastics VI, 2021 - Springer
Almost 60 years ago Zolotarev proved a duality result which relates an α-stable density for
α∈(1, 2) to the density of a 1 α\frac 1 α-stable distribution on the positive real line. In recent …

[PDF][PDF] Green measures for time changed Markov processes

Y Kondratiev, JL Silva - 2021 - enpuir.npu.edu.ua
In this paper we study Green measures for certain classes of random time change Markov
processes where the random time change are inverse subordinators. We show the …

Random Time Dynamical Systems

R Capuani, L Di Persio, Y Kondratiev… - arXiv preprint arXiv …, 2021 - arxiv.org
In this paper, we introduce the concept of random time changes in dynamical systems. The
sub-ordination principle may be applied to study the long time behavior of the random time …

Random Time Dynamical Systems I: General Structures

JL da Silva, Y Kondratiev - arXiv preprint arXiv:2012.15201, 2020 - arxiv.org
In this paper we introduce the concept of random time changes in dynamical systems. The
subordination principle may be applied to study the long time behavior of the random time …

Green measures for time changed Markov processes

JL da Silva, Y Kondratiev - arXiv preprint arXiv:2008.03390, 2020 - arxiv.org
In this paper we study Green measures for certain classes of random time change Markov
processes where the random time change are inverse subordinators. We show the …

From time to times

Y Kondratiev - Fractional Calculus and Applied Analysis, 2022 - Springer
We give an overview of the concept of random time changes in evolution processes. First of
all, we discuss random times in Markov processes. Secondly, we propose to use the concept …