[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 …

Non-local heat equation with moving boundary and curve-crossing of delayed Brownian motion

G Ascione, P Patie, B Toaldo - arXiv preprint arXiv:2203.09850, 2022 - arxiv.org
In this paper we consider a non-local (in time) heat equation on a time-increasing parabolic
set whose boundary is determined by a suitable curve. We provide a notion of solution for …

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 …

Subordination approach to space-time fractional diffusion

E Bazhlekova, I Bazhlekov - Mathematics, 2019 - mdpi.com
The fundamental solution to the multi-dimensional space-time fractional diffusion equation is
studied by applying the subordination principle, which provides a relation to the classical …

Green measures for Markov processes

YG Kondratiev, JL Da Silva - arXiv preprint arXiv:2006.07514, 2020 - arxiv.org
In this paper we study Green measures of certain classes of Markov processes. In particular
Brownian motion and processes with jump generators with different tails. The Green …

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 …

Subordinators and generalized heat kernels: Random time change and long time dynamics

N Aljaber, A Alshehri, H Altamimi… - … Methods in the …, 2025 - Wiley Online Library
This paper focuses on studying the long‐time dynamics of the subordination process for a
range of linear evolution equations, with a special emphasis on the fractional heat equation …

On fractional heat equation

AN Kochubei, Y Kondratiev… - Fractional Calculus and …, 2021 - degruyter.com
In this paper, the long-time behavior of the Cesaro mean of the fundamental solution for
fractional Heat equation corresponding to random time changes in the Brownian motion is …

[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 …

[HTML][HTML] Compound Poisson processes: Potentials, Green measures and random times

Y Kondratiev, JL da Silva - Statistics & Probability Letters, 2023 - Elsevier
In this paper we study the existence of Green measures for Markov processes with a
nonlocal jump generator. The non-singular jump kernel has no second moment and satisfies …