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  • 标题:Approximate controllability of fractional impulsive evolution systems involving nonlocal initial conditions
  • 本地全文:下载
  • 作者:Xiaozhi Zhang ; Chuanxi Zhu ; Chenggui Yuan
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:244
  • DOI:10.1186/s13662-015-0580-x
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This work is concerned with the approximate controllability of a nonlinear fractional impulsive evolution system under the assumption that the corresponding linear system is approximate controllable. Using the fractional calculus, the Krasnoselskii fixed point theorem, and the technique of controllability theory, some new sufficient conditions for approximate controllability of fractional impulsive evolution equations are obtained. The results in this paper are generalizations and continuations of the recent results on this issue. At the end, an example is given to illustrate the effectiveness of the main results.
  • 关键词:approximate controllability ; evolution equations ; mild solution ; nonlocal conditions
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