THE SOLVABILITY AND OPTIMAL CONTROLS OF IMPULSIVE FRACTIONAL SEMILINEAR DIFFERENTIAL EQUATIONS

被引：19
|
作者：
Li, Xiuwen [1 ,4 ]
Liu, Zhenhai [2 ,3 ,4 ]
机构：
[1] Baise Univ, Dept Math, Baise 533000, Guangxi Provinc, Peoples R China
[2] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi Provinc, Peoples R China
[3] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China
[4] Guangxi Univ Nationalities, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Guangxi Provinc, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2015年 / 19卷 / 02期
关键词：
Impulsive differential equations; Fractional derivatives; Mild solutions; Optimal controls; INTEGRODIFFERENTIAL EQUATIONS; CONTROLLABILITY; INCLUSIONS; UNIQUENESS; EXISTENCE;
D O I：
10.11650/tjm.19.2015.3131
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we deal with the impulsive control systems of fractional order and their optimal controls in Banach spaces. We firstly show the existence and uniqueness of mild solutions for a broad class of impulsive fractional infinite dimensional control systems under suitable assumptions. Then by using generally mild conditions of cost functionals, we extend the existence result of optimal controls to the impulsive fractional control systems. Finally, a concrete application is given to illustrate the effectiveness of our main results.
引用
收藏
页码：433 / 453
页数：21
相关论文
共 50 条
  • [1] Solvability and Optimal Controls of Semilinear Riemann-Liouville Fractional Differential Equations
    Pan, Xue
    Li, Xiuwen
    Zhao, Jing
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [2] The Solvability and Optimal Controls for Impulsive Fractional Stochastic Integro-Differential Equations via Resolvent Operators
    Balasubramaniam, P.
    Tamilalagan, P.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 174 (01) : 139 - 155
  • [3] The Solvability and Optimal Controls for Impulsive Fractional Stochastic Integro-Differential Equations via Resolvent Operators
    P. Balasubramaniam
    P. Tamilalagan
    Journal of Optimization Theory and Applications, 2017, 174 : 139 - 155
  • [4] SOLVABILITY AND OPTIMAL CONTROLS OF FRACTIONAL IMPULSIVE STOCHASTIC EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS
    Ding, Yonghong
    Niu, Jing
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (05): : 2622 - 2642
  • [5] The Solvability and Optimal Controls for Some Fractional Impulsive Equation
    Liu, Xianghu
    Liu, Zhenhai
    Han, Jiangfeng
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [6] Solvability and optimal controls for semilinear fractional evolution hemivariational inequalities
    Lu, Liang
    Liu, Zhenhai
    Jiang, Wei
    Luo, Jinlian
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (18) : 5452 - 5464
  • [7] Optimal controls for a class of impulsive fractional differential equations with nonlocal conditions
    Yu Sun
    Haibo Gu
    Yanhui Zhang
    Xingru Chen
    Xingzhao Wang
    Advances in Difference Equations, 2018
  • [8] Optimal controls for a class of impulsive fractional differential equations with nonlocal conditions
    Sun, Yu
    Gu, Haibo
    Zhang, Yanhui
    Chen, Xingru
    Wang, Xingzhao
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [9] Optimal Controls of Systems Governed by Semilinear Fractional Differential Equations with Not Instantaneous Impulses
    Shengda Liu
    JinRong Wang
    Journal of Optimization Theory and Applications, 2017, 174 : 455 - 473
  • [10] Optimal Controls of Systems Governed by Semilinear Fractional Differential Equations with Not Instantaneous Impulses
    Liu, Shengda
    Wang, JinRong
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 174 (02) : 455 - 473
12345