A space-fractional Stefan problem. (October 2020)

• Record Type: Journal Article
• Authors: Ryszewska, Katarzyna
• Is Part Of: Nonlinear analysis. Volume 199(2020)
• Publication Date: 2020-10
• Subjects: 35R37 -- 35R11; Fractional Stefan problem -- Caputo derivative -- Analytic semigroup theory; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.112027
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: 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 problem.