29 citations · 187 across the 39 of their papers we have counts for
7 papers · 1 filter
On the inverse gamma subordinator
Fausto Colantoni, Mirko D'Ovidio
In this paper we deal with some open problems concerned with gamma subordinators. In particular, we provide a representation for the moments of the inverse gamma subordinator. Then…
Elastic drifted Brownian motions and non-local boundary conditions
Mirko D'Ovidio, Francesco Iafrate
We provide a deep connection between elastic drifted Brownian motions and inverses to tempered subordinators. Based on this connection, we establish a link between multiplicative f…
Effects of fractional derivatives in epidemic models
Caterina Balzotti, Mirko D'Ovidio, Anna Chiara Lai +1
We study epidemic Susceptible-Infected-Susceptible models in the fractional setting. The novelty is to consider models in which the susceptible and infected populations evolve acco…
Fractional boundary value problems
Mirko D'Ovidio
We study some functionals associated with a process driven by a fractional boundary value problem (FBVP for short). By FBVP we mean a Cauchy problem with boundary condition written…
Models of space-time random fields on the sphere
Mirko D'Ovidio, Enzo Orsingher, Lyudmyla Sakhno
We study general models of random fields associated with non-local equations in time and space. We discuss the properties of the corresponding angular power spectrum and find asymp…
Solutions of Bernoulli equations in the fractional setting
Mirko D'Ovidio, Anna Chiara Lai, Paola Loreti
We present a general series representation formula for the local solution of Bernoulli equation with Caputo fractional derivatives. We then focus on a generalization of the fractio…
Non-local logistic equations from the probability viewpoint
Mirko D'Ovidio
We investigate the solution to the logistic equation involving non-local operators in time. In the linear case such operators lead to the well-known theory of time changes. We prov…