Fractional Cauchy problem on random snowflakes

Autor: Capitanelli, Raffaela, D'Ovidio, Mirko
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv