[HTML][HTML] Analysis of fractional Cauchy problems with some probabilistic applications

F Cinque, E Orsingher - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
In this paper we give an explicit solution to Dzherbashyan-Caputo-fractional Cauchy
problems related to equations with derivatives of order νk, for k non-negative integer and ν> …

Multidimensional random motions with a natural number of finite velocities

F Cinque, M Cintoli - Advances in Applied Probability, 2024 - cambridge.org
We present a detailed analysis of random motions moving in higher spaces with a natural
number of velocities. In the case of the so-called minimal random dynamics, under some …

A Cyclic Random Motion in Driven by Geometric Counting Processes

A Iuliano, G Verasani - Methodology and Computing in Applied Probability, 2024 - Springer
We consider the random motion of a particle that moves with constant velocity in R 3. The
particle can move along four different directions that are attained cyclically. It follows that the …

Planar random motions in a vortex

E Orsingher, MM Marchione - arXiv preprint arXiv:2404.11521, 2024 - arxiv.org
We study a planar random motion $\big (X (t), Y (t)\big) $ with orthogonal directions which
can turn clockwise, counterclockwise and reverse its direction each with a different …

A cyclic random motion in driven by geometric counting processes

A Iuliano, G Verasani - arXiv preprint arXiv:2306.03260, 2023 - arxiv.org
We consider the random motion of a particle that moves with constant velocity in $\mathbb
{R}^ 3$. The particle can move along four directions with different speeds that are attained …

Analytic Solutions of Equation for Random Evolution on a Complex Plane

I Samoilenko, G Verovkina, T Samoilenko - Austrian Journal of Statistics, 2023 - ajs.or.at
Analytic Solutions of Equation for Random Evolution on a Complex Plane Page 1 AJS
Austrian Journal of Statistics 2023, Volume 52, 71–81. http://www.ajs.or.at/ doi:10.17713/ajs.v52iSI.1757 …