THE NONEMPTINESS AND COMPACTNESS OF MILD SOLUTION SETS FOR RIEMANN-LIOUVILLE FRACTIONAL DELAY DIFFERENTIAL VARIATIONAL INEQUALITIES  

作　　者：Yirong JIANG Zhouchao WEI Jingping LU 蒋宜蓉;魏周超;卢景苹(College of Science,Guilin University of Technology,Guilin 541004,China;School of Mathematics and Physics,China University of Geosciences(Wuhan),Wuhan 430074,China)

机构地区：[1]College of Science,Guilin University of Technology,Guilin 541004,China [2]School of Mathematics and Physics,China University of Geosciences(Wuhan),Wuhan 430074,China

出　　处：《Acta Mathematica Scientia》2021年第5期1569-1578,共10页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11772306);Natural Science Foundation of Guangxi Province(2018GXNSFAA281021);Guangxi Science and Technology Base Foundation(AD20159017);the Foundation of Guilin University of Technology(GUTQDJJ2017062);the Fundamental Research Funds for the Central Universities,China University of Geosciences(Wuhan)(CUGGC05).

摘　　要：This paper investigates the nonemptiness and compactness of the mild solution set for a class of Riemann-Liouville fractional delay differential variational inequalities,which are formulated by a Riemann-Liouville fractional delay evolution equation and a variational inequality.Our approach is based on the resolvent technique and a generalization of strongly continuous semigroups combined with Schauder's fixed point theorem.

关 键 词：differential variational inequality Riemann-Liouville fractional delay evolution equation RESOLVENT Schauder's fixed point theorem 

分 类 号：O178[理学—数学]