On the approximate controllability for some impulsive fractional evolution hemivariational inequalities

被引：1

作者：

Li, Yanfang ^{[1
]}

Liu, Yanmin ^{[1
]}

Liu, Xianghu ^{[1
]}

Jun, He ^{[1
]}

机构：

[1] Zunyi Normal Coll, Math Dept, Guizhou 563006, Peoples R China

来源：

AIMS MATHEMATICS | 2017年 / 2卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Approximate controllability; hemivariational inequalities; fractional differential; mild solutions; generalized Clarke subdifferential; INCLUSIONS; EQUATIONS; EXISTENCE; SPACES; 2ND-ORDER; SYSTEMS; DELAY;

D O I：

10.3934/Math.2017.3.422

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the approximate controllability for some impulsive fractional evolution hemivariational inequalities. We show the concept of mild solutions for these problems. The approximate controllability results are formulated and proved by utilizing fractional calculus, fixed points theorem of multivalued maps and properties of generalized Clarke subgradient under some certain conditions.

引用

页码：422 / 436

页数：15

共 50 条

[41] Approximate controllability of fractional stochastic evolution equations
Sakthivel, R.
Suganya, S.
Anthoni, S. M.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (03) : 660 - 668
[42] Approximate Controllability of Fractional Integrodifferential Evolution Equations
Ganesh, R.
Sakthivel, R.
Mahmudov, N. I.
Anthoni, S. M.
[J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
[43] On the approximate controllability of second-order stochastic differential systems with hemivariational inequalities with damping
Shanmugapriya, R. S.
Vijayakumar, V.
[J]. OPTIMIZATION, 2024,
[44] Solvability and optimal controls for semilinear fractional evolution hemivariational inequalities
Lu, Liang
Liu, Zhenhai
Jiang, Wei
Luo, Jinlian
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (18) : 5452 - 5464
[45] Existence and approximate controllability for the Hilfer fractional neutral stochastic hemivariational inequality with Rosenblatt process
Gokul, G.
Udhayakumar, R.
[J]. JOURNAL OF CONTROL AND DECISION, 2024,
[46] On the Controllability of Impulsive Fractional Evolution Inclusions in Banach Spaces
Zhenhai Liu
Xiuwen Li
[J]. Journal of Optimization Theory and Applications, 2013, 156 : 167 - 182
[47] On the Controllability of Impulsive Fractional Evolution Inclusions in Banach Spaces
Liu, Zhenhai
Li, Xiuwen
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 156 (01) : 167 - 182
[48] Approximate controllability for a class of stochastic impulsive evolution system with infinite delay involving the fractional substantial derivative
Chen, Weihao
Liu, Yansheng
Zhao, Daliang
[J]. CHAOS SOLITONS & FRACTALS, 2024, 182
[49] Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique
Ge, Fu-Dong
Zhou, Hua-Cheng
Kou, Chun-Hai
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 275 : 107 - 120
[50] New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order r ∈ (1,2)
Dineshkumar, C.
Udhayakumar, R.
Vijayakumar, V.
Shukla, Anurag
Nisar, Kottakkaran Sooppy
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 116

← 1 2 3 4 5 →