APPROXIMATE CONTROLLABILITY FOR SEMILINEAR COMPOSITE FRACTIONAL RELAXATION EQUATIONS

被引：21
|
作者：
Fan, Zhenbin [1 ,2 ]
Dong, Qixiang [1 ]
Li, Gang [1 ]
机构：
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
[2] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2016年 / 19卷 / 01期
关键词：
approximate controllability; optimal control; composite fractional relaxation equations; DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; SYSTEM;
D O I：
10.1515/fca-2016-0015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a control system governed by a semilinear composite fractional relaxation equation in Hilbert space. We first prove that the system has a mild solution. Then, we investigate the approximate controllability of the relaxation equation under the assumption that the corresponding linear system is approximately controllable. An example is also given to illustrate our results.
引用
收藏
页码：267 / 284
页数：18
相关论文
共 50 条
  • [1] Approximate controllability for semilinear composite fractional relaxation equations
    Zhenbin Fan
    Qixiang Dong
    Gang Li
    Fractional Calculus and Applied Analysis, 2016, 19 : 267 - 284
  • [2] Approximate controllability for fractional semilinear parabolic equations
    Huang, Yong
    Liu, Zhenhai
    Wen, Ching-Feng
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (11) : 2971 - 2979
  • [3] Approximate Controllability for Semilinear Fractional Stochastic Evolution Equations
    Jiang, Yiming
    Ren, Jingchuang
    Wei, Yawei
    Xue, Jie
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (SUPPL 1)
  • [4] FINITE APPROXIMATE CONTROLLABILITY OF HILFER FRACTIONAL SEMILINEAR DIFFERENTIAL EQUATIONS
    Wang, Jinrong
    Ibrahim, A. G.
    O'Regan, Donal
    MISKOLC MATHEMATICAL NOTES, 2020, 21 (01) : 489 - 507
  • [5] Approximate Controllability of a Class of Semilinear Hilfer Fractional Differential Equations
    Bora, Swaroop Nandan
    Roy, Bandita
    RESULTS IN MATHEMATICS, 2021, 76 (04)
  • [6] Approximate Controllability of a Class of Semilinear Hilfer Fractional Differential Equations
    Swaroop Nandan Bora
    Bandita Roy
    Results in Mathematics, 2021, 76
  • [7] Finite-Approximate Controllability for Fractional Composite Relaxation Equations with Different Nonlocal Conditions
    Liang, Yixing
    Fan, Zhenbin
    Li, Gang
    FRACTAL AND FRACTIONAL, 2025, 9 (02)
  • [8] On the approximate controllability of semilinear fractional differential systems
    Sakthivel, R.
    Ren, Yong
    Mahmudov, N. I.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1451 - 1459
  • [9] The cost of approximate controllability for semilinear heat equations
    Yan Y.
    Zhao Y.
    Huang Yu.
    Journal of Control Theory and Applications, 2009, 7 (1): : 73 - 76
  • [10] ε - Approximate Controllability for the Semilinear Fuzzy Integrodifferential Equations
    Kwun, Young Chel
    Kim, Jeong Soon
    Park, Min Ji
    Park, Jin Han
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (06) : 1171 - 1179
12345