29 citations · 187 across the 39 of their papers we have counts for
4 papers · 1 filter
On the time fractional heat equation with obstacle
Carlo Alberini, Raffaela Capitanelli, Mirko D'Ovidio +1
We study a Caputo time fractional degenerate diffusion equation which we prove to be equivalent to the fractional parabolic obstacle problem, showing that its solution evolves for…
Fractional Cauchy problem on random snowflakes
Raffaela Capitanelli, Mirko D'Ovidio
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…
Generalized binomials in fractional calculus
Mirko D'Ovidio, Anna Chiara Lai, Paola Loreti
We consider a class of generalized binomials emerging in fractional calculus. After establishing some general properties, we focus on a particular yet relevant case, for which we p…
Fractional SIS epidemic models
Caterina Balzotti, Mirko D'Ovidio, Paola Loreti
In this paper we consider the fractional SIS epidemic model (-SIS model) in the case of constant population size. We provide a representation of the explicit solution to the fra…