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math.AP2022
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…
math.AP2020★ 1 cited
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…
math.AP2017★ 2 cited
Determination of order in linear fractional differential equations
Mirko D'Ovidio, Paola Loreti, Alireza Momenzadeh +1
In this article, the order of some classes of fractional linear differential equations is determined, based on asymptotic behavior of the solution as time tends to infinity. The or…