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math.AP2019
A space-fractional Stefan problem
Katarzyna Ryszewska
We study a space-fractional Stefan problem, where the non-local diffusion flux is modeled by the Caputo derivative. We obtain the unique existence of classical solution to this pro…
math.AP2019
An analytic semigroup generated by a fractional differential operator
Katarzyna Ryszewska
We study a space-fractional diffusion problem, where the non-local diffusion flux involves the Caputo derivative of the diffusing quantity. We prove the unique existence of regular…