2 citations · 6 across the 9 of their papers we have counts for
19 papers
On the non-local boundary value problem from the probabilistic viewpoint
Mirko D'Ovidio
We provide a short introduction of new and well-known facts relating non-local operators and irregular domains. Cauchy problems and boundary value problems are considered in case n…
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…