Ayouch, ChahidEssoufi, El-HassanOuhadan, MohamedTilioua, Mouhcine2022-03-092022-03-092018-10-26Ayouch, C., Essoufi, E. H., Ouhadan, M., & Tilioua, M. (2018). On a fractional phase transition model in ferromagnetism. <i>Electronic Journal of Differential Equations, 2018</i>(175), pp. 1-12.1072-6691https://hdl.handle.net/10877/15471We consider a fractional model describing phase transition in ferromagnetic materials. This model includes the three-dimensional evolution of both thermodynamic and electromagnetic properties of the ferromagnetic material. We first prove existence of a global weak solution by using Faedo-Galerkin method. Then we establish uniqueness for the considered model.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalPhase transitionFractional LaplacianWeak solutionExistence and uniquenessFaedo-Galerkin methodArticle