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

作     者：蒋宜蓉 魏周超 卢景苹 Yirong JIANG;Zhouchao WEI;Jingping LU

作者机构：College of ScienceGuilin University of TechnologyGuilin 541004China School of Mathematics and PhysicsChina University of Geosciences(Wuhan)Wuhan 430074China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2021年第41卷第5期

页      面：1569-1578页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

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). 

主　　题：differential variational inequality Riemann-Liouville fractional delay evolution equation resolvent Schauder's fixed point theorem 

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.