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

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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.
作者 蒋宜蓉 魏周超 卢景苹 Yirong JIANG;Zhouchao WEI;Jingping LU(College of Science,Guilin University of Technology,Guilin 541004,China;School of Mathematics and Physics,China University of Geosciences(Wuhan),Wuhan 430074,China)
出处 《Acta Mathematica Scientia》 SCIE CSCD 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).
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