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
收藏
页码:422 / 436
页数:15
相关论文
共 50 条
  • [31] Finite-approximate controllability of impulsive ψ-Caputo fractional evolution equations with nonlocal conditions
    Ding, Yonghong
    Li, Yongxiang
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2023, 26 (03) : 1326 - 1358
  • [32] Approximation and convergence analysis of optimal control for non-instantaneous impulsive fractional evolution hemivariational inequalities
    Durga, N.
    Muthukumar, P.
    Niezabitowski, Michal
    [J]. RESULTS IN CONTROL AND OPTIMIZATION, 2022, 9
  • [33] FRACTIONAL STOCHASTIC EVOLUTION HEMIVARIATIONAL INEQUALITIES AND OPTIMAL CONTROLS
    Jiang, Yirong
    Zhang, Qiongfen
    Huang, Nanjing
    [J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2020, 55 (02) : 493 - 515
  • [34] CONTROLLABILITY OF NONLINEAR FRACTIONAL IMPULSIVE EVOLUTION SYSTEMS
    Liu, Zhenhai
    Li, Xiuwen
    Sun, Jihua
    [J]. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2013, 25 (03) : 395 - 406
  • [35] Some convergence results for evolution hemivariational inequalities
    Liu, ZH
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2004, 29 (01) : 85 - 95
  • [36] Some Convergence Results for Evolution Hemivariational Inequalities
    Zhenhai Liu
    [J]. Journal of Global Optimization, 2004, 29 : 85 - 95
  • [37] Some existence theorems for evolution hemivariational inequalities
    Liu, ZH
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (08): : 1165 - 1176
  • [38] APPROXIMATE CONTROLLABILITY OF ABSTRACT IMPULSIVE FRACTIONAL NEUTRAL EVOLUTION EQUATIONS WITH INFINITE DELAY IN BANACH SPACES
    Chalishajar, Dimplekumar N.
    Malar, Kandasamy
    Karthikeyan, Kulandhivel
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [39] Approximate Controllability of Random Impulsive Quasilinear Evolution Equation
    Vinodkumar, A.
    Loganathan, C.
    Vijay, S.
    [J]. FILOMAT, 2020, 34 (05) : 1611 - 1620
  • [40] Approximate controllability of fractional evolution inclusions with damping
    Li, Xuemei
    Liu, Xinge
    Tang, Meilan
    [J]. CHAOS SOLITONS & FRACTALS, 2021, 148