Existence and controllability results for fractional semilinear differential inclusions

被引：195
|
作者：
Wang, JinRong [2 ]
Zhou, Yong [1 ]
机构：
[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China
[2] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Fractional semilinear differential inclusions; Existence; Controllability; Bohnenblust-Karlin's fixed point theorem; NONLOCAL INITIAL CONDITIONS; BANACH-SPACES; INTEGRODIFFERENTIAL INCLUSIONS; EVOLUTION-EQUATIONS; BOUNDARY-CONDITIONS; SYSTEMS;
D O I：
10.1016/j.nonrwa.2011.06.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the existence and controllability results for fractional semilinear differential inclusions involving the Caputo derivative in Banach spaces. The results are obtained by using fractional calculation, operator semigroups and Bohnenblust-Karlin's fixed point theorem. At last, an example is given to illustrate the theory. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3642 / 3653
页数：12
相关论文
共 50 条
  • [1] Existence and Controllability Results for Fractional Stochastic Semilinear Differential Inclusions
    Toufik G.
    [J]. Differential Equations and Dynamical Systems, 2015, 23 (3) : 225 - 240
  • [2] Existence results for fractional semilinear differential inclusions in Banach spaces
    Liu X.
    Liu Z.
    [J]. Journal of Applied Mathematics and Computing, 2013, 42 (1-2) : 171 - 182
  • [3] Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions
    Abada, Nadjet
    Benchohra, Mouffak
    Hammouche, Hadda
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (10) : 3834 - 3863
  • [4] Existence results for semilinear differential inclusions
    Fan, Zhenbin
    Li, Gang
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2007, 76 (02) : 227 - 241
  • [5] Atangana-Baleanu Semilinear Fractional Differential Inclusions With Infinite Delay: Existence and Approximate Controllability
    Williams, W. Kavitha
    Vijayakumar, V.
    Nisar, Kottakkaran Sooppy
    Shukla, Anurag
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2023, 18 (02):
  • [6] Approximate Controllability Results for Fractional Semilinear Integro-Differential Inclusions in Hilbert Spaces
    N. I. Mahmudov
    R. Murugesu
    C. Ravichandran
    V. Vijayakumar
    [J]. Results in Mathematics, 2017, 71 : 45 - 61
  • [7] Approximate Controllability Results for Fractional Semilinear Integro-Differential Inclusions in Hilbert Spaces
    Mahmudov, N. I.
    Murugesu, R.
    Ravichandran, C.
    Vijayakumar, V.
    [J]. RESULTS IN MATHEMATICS, 2017, 71 (1-2) : 45 - 61
  • [8] EXISTENCE RESULTS FOR SEMILINEAR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH STATE-DEPENDENT DELAY
    Hammouche, Hadda
    Guerbati, Kaddour
    Boutoulout, Ali
    [J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 10 (02): : 1 - 18
  • [9] Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces
    Wang, JinRong
    Ibrahim, Ahmed G.
    [J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
  • [10] On The Exact Controllability of Impulsive Fractional Semilinear Functional Differential Inclusions
    Liu, Zhenhai
    Li, Xiuwen
    [J]. ASIAN JOURNAL OF CONTROL, 2015, 17 (05) : 1857 - 1865
12345