Work

G-fractional diffusion on bounded domains in $\mathbb{R}^d$

Year: 2023

Type: preprint

Abstract: In this paper we study $g$-fractional diffusion on bounded domains in $\mathbb{R}^d$ with absorbing boundary conditions. We show the explicit representation of the solution and then we study the first passage time distribution, showing the dependence on the particular choice of the function $g$. Then, we specialize the analysis to the interesting case of a rectangular domain. Finally we briefly discuss the connection of this general theory with the physical application to the so-called fractional Dodson diffusion model recently discussed in the literature.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2301.12501

Authors: Angelani, L., Garra, R.

Institutions: Institute for Complex Systems, National Research Council, Sapienza University of Rome, UniNettuno University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4318751982

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