Solvability and optimal control of fractional differential hemivariational inequalities

被引：9
|
作者：
Xue, Guangming [1 ]
Lin, Funing [1 ]
Qin, Bin [2 ]
机构：
[1] Guangxi Univ Finance & Econ, Coll Informat & Stat, Nanning, Peoples R China
[2] Guangxi Univ Finance & Econ, Guangxi ASEAN Res Ctr Finance & Econ, Nanning, Peoples R China
来源：
OPTIMIZATION | 2021年 / 70卷 / 11期
关键词：
Fractional differential hemivariational inequalities; fixed point theorem; measure of non-compactness; mild solutions; optimal control;
D O I：
10.1080/02331934.2020.1786089
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
This paper investigates the solvability and the optimal control of fractional differential hemivariational inequalities (FDHVIs, for short). Firstly, we establish several sufficient assumptions for FDHVIs to transform the solution mappings into differential inclusions. Then, we verify the non-emptiness and the compactness of the set of all the mild solutions for FDHVIs. Furthermore, we discuss the optimal control problems of FDHVIs via some appropriate hypotheses. Finally, a typical example is presented to illustrate our main results.
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页码：2479 / 2510
页数：32
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