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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …