CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe study the fundamental solutions to time-fractional telegraph equations of order $2\alpha$.We are able to obtain the Fourier transform of the solutions for any and to give a representation of their inverse, in terms of stable densities. For the special case $\alpha=1/2$, we can show that the fundamental solution is the distribution of a telegraph process with Brownian time. In a special case, this becomes the density of the iterated Brownian motion, which is therefore the fundamental solution to a fractional diffusion equation of order $1/2$ with respect to time.
http://hdl.handle.net/11573/36015| Titolo: | Time-fractional telegraph equations and telegraph process with Brownian time |
| Autori interni: | ORSINGHER, Enzo BEGHIN, Luisa |
| Data di pubblicazione: | 2004 |
| Rivista: | PROBABILITY THEORY AND RELATED FIELDS |
| Abstract: | We study the fundamental solutions to time-fractional telegraph equations of order $2\alpha$.We are able to obtain the Fourier transform of the solutions for any and to give a representation of their inverse, in terms of stable densities. For the special case $\alpha=1/2$, we can show that the fundamental solution is the distribution of a telegraph process with Brownian time. In a special case, this becomes the density of the iterated Brownian motion, which is therefore the fundamental solution to a fractional diffusion equation of order $1/2$ with respect to time. |
| Handle: | http://hdl.handle.net/11573/36015 |
| Appare nelle tipologie: | 01.a Pubblicazione su Rivista |
File in questo prodotto:
Copyright © 2017