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math.AP2021
A one-phase space -- fractional Stefan problem with no liquid initial domain
Sabrina Roscani, Katarzyna Ryszewska, Lucas Venturato
Taking into account the recent works \cite{RoTaVe:2020} and \cite{Rys:2020}, we consider a phase-change problem for a one dimensional material with a non-local flux, expressed in t…
math.AP2021
About the Convergence of a Family of Initial Boundary Value Problems for a Fractional Diffusion Equation with Robin Conditions
Isolda Cardoso, Sabrina D. Roscani, Domingo A. Tarzia
We consider a family of initial boundary value problems governed by a fractional diffusion equation with Caputo derivative in time, where the parameter is the Newton heat transfer…