On the Approximate Controllability for Hilfer Fractional Evolution Hemivariational Inequalities

被引：20
|
作者：
Wang, JinRong [1 ,2 ]
Liu, Xianghu [1 ,3 ]
O'Regan, D. [4 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu, Shandong, Peoples R China
[3] Zunyi Normal Coll, Dept Math, Zunyi, Guizhou, Peoples R China
[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2019年 / 40卷 / 07期
关键词：
Approximate controllability; generalized Clarke directional derivative; hemivariational inequalities; Hilfer fractional derivative; mild solutions; FINITE-TIME STABILITY; EXISTENCE; SYSTEMS; INCLUSIONS;
D O I：
10.1080/01630563.2018.1499667
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is concerned with the approximate controllability of some Hilfer fractional evolution hemivariational inequalities. Using two classes of operators and their fundamental properties, we derive sufficient conditions for approximate controllability of linear and semilinear controlled systems via a fixed point theorem for multivalued maps. Finally, an example is given to illustrate our theory.
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页码：743 / 762
页数：20
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