2 citations · 6 across the 9 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
Delayed and rushed motions through time change
Raffaela Capitanelli, Mirko D'Ovidio
We introduce a definition of delayed and rushed processes in terms of lifetimes of base processes and time-changed base processes. Then, we consider time changes given by subordina…
Drifted Brownian motions governed by fractional tempered derivatives
Mirko D'Ovidio, Francesco Iafrate, Enzo Orsingher
Fractional equations governing the distribution of reflecting drifted Brownian motions are presented. The equations are expressed in terms of tempered Riemann--Liouville type deriv…