Analysis of fractional Cauchy problems with some probabilistic applications
DOI10.1016/j.jmaa.2024.128188arXiv2309.04988OpenAlexW4391529573WikidataQ128649869 ScholiaQ128649869MaRDI QIDQ6130379
Fabrizio Cinque, Enzo Orsingher
Publication date: 2 April 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.04988
Laplace transformsFourier transformsrandom motionsMittag-Leffler functionsDzherbashyan-Caputo derivativeinverse of stable subordinator
Infinitely divisible distributions; stable distributions (60E07) Processes with independent increments; Lévy processes (60G51) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Stable stochastic processes (60G52)
Cites Work
- Ten equivalent definitions of the fractional Laplace operator
- Space-time fractional equations and the related stable processes at random time
- On Mittag-Leffler functions and related distributions
- Fractional diffusion equations and processes with randomly varying time
- Time-fractional telegraph equations and telegraph processes with Brownian time
- On densities of the product, quotient and power of independent subordinators
- Time-Changed Processes Governed by Space-Time Fractional Telegraph Equations
- Multivariate analogue of generalized Mittag-Leffler function
- Exact transient analysis of a planar random motion with three directions
- Bose-Einstein-type statistics, order statistics and planar random motions with three directions
- On the sum of independent generalized Mittag–Leffler random variables and the related fractional processes
- Mittag-Leffler Functions, Related Topics and Applications
- Stochastic dynamics of generalized planar random motions with orthogonal directions
- Random motions in \(\mathbb{R}^3\) with orthogonal directions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Analysis of fractional Cauchy problems with some probabilistic applications
