Semi-Linear Fractionalσ-Evolution Equations with Nonlinear Memory  

作　　者：KAINANE MEZADEK Abdelatif 

机构地区：[1]Université Hassiba Benbouali de Chlef,Faculté des Sciences Exactes et Informatique,Départment de Mathematiques,P.O.Box 151,02000 Ouled Fares Chlef,Algeria [2]Laboratoire d'Analyse et Contrôle des Equations aux Dérivées Partielles,P.O.Box 89,22000 Sidi Bel Abbes,Algeria

出　　处：《Journal of Partial Differential Equations》2020年第4期291-312,共22页偏微分方程（英文版）

基　　金：The research of this article is supported by the DAAD,Erasmus+Project between the Hassiba Benbouali University of Chlef(Algeria)and TU Bergakademie Freiberg,2015-1-DE01-KA107-002026

摘　　要：In this paper we study the local or global(in time)existence of small data solutions to semi-linear fractionalσ-evolution equations with nonlinear memory.Our main goals is to explain on the one hand the influence of the memory term and on the other hand the influence of higher regularity of the data on qualitative properties of solutions.

关 键 词：Fractional equations σ-evolution equations global in time existence small data solutions nonlinear memory 

分 类 号：O175.27[理学—数学]