Complete Controllability for Fractional Evolution Equations

被引：4
作者：
Yang, Xia [1 ]
Gu, Haibo [2 ,3 ]
机构：
[1] Shihezi Univ, Sch Sci, Shihezi 832003, Xinjiang, Peoples R China
[2] Xinjiang Normal Univ, Sch Math Sci, Urumqi 830054, Xinjiang, Peoples R China
[3] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
基金：
中国国家自然科学基金;
关键词：
DIFFERENTIAL-EQUATIONS; CAUCHY-PROBLEM; MILD SOLUTIONS; BANACH-SPACES; INCLUSIONS; EXISTENCE; UNIQUENESS; SYSTEMS;
D O I：
10.1155/2014/730695
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is concerned with the complete controllability of fractional evolution equation with nonlocal condition by using a more general concept for mild solution. By contraction fixed point theorem and Krasnoselskii's fixed point theorem, we obtain some sufficient conditions to ensure the complete controllability. Our obtained results are more general to known results.
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收藏
页数：8
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共 34 条
  • [1] Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions
    Agarwal, Ravi P.
    Ahmad, Bashir
    Alsaedi, Ahmad
    Shahzad, Naseer
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [2] A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative
    Agarwal, Ravi P.
    Belmekki, Mohammed
    Benchohra, Mouffak
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2009, : 1 - 47
  • [3] On the concept of solution for fractional differential equations with uncertainty
    Agarwal, Ravi P.
    Lakshmikantham, V.
    Nieto, Juan J.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) : 2859 - 2862
  • [4] Ahmed NasirUddin., 2006, Dynamic Systems and Control with Applications
  • [5] [Anonymous], 1999, MATH SCI ENG
  • [6] [Anonymous], 2006, Journal of the Electrochemical Society
  • [7] Solvability of fractional three-point boundary value problems with nonlinear growth
    Bai, Zhanbing
    Zhang, Yinghan
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) : 1719 - 1725
  • [8] Controllability of functional semilinear integrodifferential systems in Banach spaces
    Balachandran, K
    Sakthivel, R
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 255 (02) : 447 - 457
  • [9] Bazhlekova E., 2001, Ph.D. Thesis
  • [10] Existence results for fractional order semilinear functional differential equations with nondense domain
    Belmekki, Mohammed
    Benchohra, Mouffak
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) : 925 - 932
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