In the recent literature, the g-subdiffusion equation involving Caputo fractional derivatives with respect to another function has been studied in relation to anomalous diffusions with a continuous transition between different subdiffusive regimes. In this paper we study the problem of g-fractional diffusion in a bounded domain with absorbing boundaries. We find the explicit solution for the initial boundary value problem, and we study the first-passage time distribution and the mean first-passage time (MFPT). The main outcome is the proof that with a particular choice of the function g it is possible to obtain a finite MFPT, differently from the anomalous diffusion described by a fractional heat equation involving the classical Caputo derivative.
g-fractional diffusion models in bounded domains
Luca Angelani
Primo
;
2023
Abstract
In the recent literature, the g-subdiffusion equation involving Caputo fractional derivatives with respect to another function has been studied in relation to anomalous diffusions with a continuous transition between different subdiffusive regimes. In this paper we study the problem of g-fractional diffusion in a bounded domain with absorbing boundaries. We find the explicit solution for the initial boundary value problem, and we study the first-passage time distribution and the mean first-passage time (MFPT). The main outcome is the proof that with a particular choice of the function g it is possible to obtain a finite MFPT, differently from the anomalous diffusion described by a fractional heat equation involving the classical Caputo derivative.File | Dimensione | Formato | |
---|---|---|---|
prod_477430-doc_195347.pdf
solo utenti autorizzati
Descrizione: g-fractional diffusion models in bounded domains
Tipologia:
Versione Editoriale (PDF)
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
340.24 kB
Formato
Adobe PDF
|
340.24 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
2209.11161.pdf
accesso aperto
Descrizione: ON G-FRACTIONAL DIFFUSION MODELS IN BOUNDED DOMAINS
Tipologia:
Documento in Pre-print
Licenza:
Creative commons
Dimensione
364.67 kB
Formato
Adobe PDF
|
364.67 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.