G-Fractional Diffusion on Bounded Domains in Rd

被引：1

作者：

Angelani, Luca ^{[1
,2
]}

Garra, Roberto ^{[3
]}

机构：

[1] CNR, Ist Sistemi Complessi, Ple A Moro 2, I-00185 Rome, Italy

[2] Sapienza Univ Roma, Dipartimento Fis, Ple A Moro 2, I-00185 Rome, Italy

[3] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 03期

关键词：

fractional diffusion equation; first-passage time; g-fractional diffusion in bounded domain;

D O I：

10.3390/fractalfract7030235

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study g-fractional diffusion on bounded domains in R(d )with absorbing boundary conditions. A new general and explicit representation of the solution is obtained. 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.

引用

页数：8

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