CONTROLLABILITY RESULTS FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONDENSE DOMAIN

被引:15
|
作者
Zhang, Zufeng [1 ,2 ]
Liu, Bin [2 ]
机构
[1] Suzhou Univ, Sch Math & Stat, Suzhou 215006, Anhui, Peoples R China
[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
关键词
Controllability; Fractional differential equations; Integrated semigroup; Integral solution; Nondense domain; 93B05; 34K05; 34K30; CAUCHY-PROBLEMS; INFINITE DELAY; EXISTENCE; INCLUSIONS; SYSTEMS;
D O I
10.1080/01630563.2013.813536
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article is concerned with the controllability results for integral solution of nondensely defined fractional semilinear functional differential equations. Our approach is based on integrated semigroup theory and the Schauder fixed point theorem. An example is also given to illustrate our results.
引用
收藏
页码:443 / 460
页数:18
相关论文
共 50 条
  • [1] An interpretation on controllability of Hilfer fractional derivative with nondense domain
    Ravichandran, C.
    Jothimani, K.
    Nisar, Kottakkaran Sooppy
    Mahmoud, Emad E.
    Yahia, Ibrahim S.
    ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (12) : 9941 - 9948
  • [2] Existence results for fractional order semilinear functional differential equations with nondense domain
    Belmekki, Mohammed
    Benchohra, Mouffak
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) : 925 - 932
  • [3] New results on controllability in the framework of fractional integrodifferential equations with nondense domain
    Jothimani, K.
    Kaliraj, K.
    Hammouch, Zakia
    Ravichandran, C.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (09)
  • [4] INTEGRAL SOLUTIONS OF FRACTIONAL EVOLUTION EQUATIONS WITH NONDENSE DOMAIN
    Gu, Haibo
    Zhou, Yong
    Ahmad, Bashir
    Alsaedi, Ahmed
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [5] A Note on Impulsive Fractional Evolution Equations with Nondense Domain
    Zhang, Zufeng
    Liu, Bin
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [6] An existence and uniqueness result for fractional order semilinear functional differential equations with nondense domain
    Deng, Jiqin
    Deng, Ziming
    Yang, Liuxiao
    APPLIED MATHEMATICS LETTERS, 2011, 24 (06) : 924 - 928
  • [7] New approach on controllability of Hilfer fractional derivatives with nondense domain
    Nisar, Kottakkaran Sooppy
    Jothimani, Kasthurisamy
    Ravichandran, Chokkalingam
    Baleanu, Dumitru
    Kumar, Devendra
    AIMS MATHEMATICS, 2022, 7 (06): : 10079 - 10095
  • [8] Controllability results of neutral Caputo fractional functional differential equations
    Wang, Qi
    Xie, Chenyci
    Deng, Qianqian
    Hu, Yuting
    AIMS MATHEMATICS, 2023, 8 (12): : 30353 - 30373
  • [9] Retarded functional differential equations with nondense domain operators
    S. Amraoui
    S. Lalaoui Rhali
    Numerical Algorithms, 1999, 21 : 1 - 8
  • [10] Controllability of fractional neutral functional differential equations with infinite delay driven by fractional Brownian motion
    Dieye, Moustapha
    Lakhel, El Hassan
    McKibben, Mark A.
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2021, 38 (03) : 929 - 956