Fractional Cauchy problem on random snowflakes

被引：5

作者：

Capitanelli, Raffaela ^{[1
]}

D'Ovidio, Mirko ^{[1
]}

机构：

[1] Sapienza Univ Rome, Dept Basic & Appl Sci Engn, Via A Scarpa 10, Rome, Italy

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2021年 / 21卷 / 02期

关键词：

Time changes; Fractional operators; Time-fractional equations; Asymptotics; TIME; DIFFUSION; CONVERGENCE; EQUATIONS;

D O I：

10.1007/s00028-021-00673-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider time-changed Brownian motions on random Koch (pre-fractal and fractal) domains where the time change is given by the inverse to a subordinator. In particular, we study the fractional Cauchy problem with Robin condition on the pre-fractal boundary obtaining asymptotic results for the corresponding fractional diffusions with Robin, Neumann and Dirichlet boundary conditions on the fractal domain.

引用

页码：2123 / 2140

页数：18

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