A One-Phase Space-Fractional Stefan Problem With No Liquid Initial Domain

نویسندگان

چکیده

Taking into account the recent works \cite{RoTaVe:2020} and \cite{Rys:2020}, we consider a phase-change problem for one dimensional material with non-local flux, expressed in terms of Caputo derivative, which derives space-fractional Stefan problem. We prove existence unique solution to fractional Neumann boundary condition at fixed face $x=0$, where domain, initial time, consists liquid solid. Then use this result limit an analogous solid when it is not possible transform domain cylinder.

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ژورنال

عنوان ژورنال: Siam Journal on Mathematical Analysis

سال: 2022

ISSN: ['0036-1410', '1095-7154']

DOI: https://doi.org/10.1137/21m1461599