A FRACTIONAL NONLINEAR EVOLUTIONARY DELAY SYSTEM DRIVEN BY A HEMI-VARIATIONAL INEQUALITY IN BANACH SPACES  

作　　者：Yunhua WENG Xuesong LI Nanjing HUANG 翁云华;李雪松;黄南京(Department of Mathematics,Sichuan University,Chengdu 610064,China)

机构地区：[1]Department of Mathematics,Sichuan University,Chengdu 610064,China

出　　处：《Acta Mathematica Scientia》2021年第1期187-206,共20页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11471230,11671282)。

摘　　要：This article deals with a new fractional nonlinear delay evolution system driven by a hemi-variational inequality in a Banach space.Utilizing the KKM theorem,a result concerned with the upper semicontinuity and measurability of the solution set of a hemivariational inequality is established.By using a fixed point theorem for a condensing setvalued map,the nonemptiness and compactness of the set of mild solutions are also obtained for such a system under mild conditions.Finally,an example is presented to illustrate our main results.

关 键 词：fractional differential variational inequality fractional nonlinear delay evolution equation hemi-variational inequality condensing map KKM theorem fixed point theorem 

分 类 号：O178[理学—数学]