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文章基本信息

  • 标题:Analytical solutions to fractional evolution equations with almost sectorial operators
  • 本地全文:下载
  • 作者:Xiao-Li Ding ; Bashir Ahmad
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:203
  • DOI:10.1186/s13662-016-0927-y
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, with the aid of functional analysis, for almost sectorial operators and some fixed point theorems, we study the existence and uniqueness of mild solutions to fractional neutral evolution equations with almost sectorial operators. We also show that mild solutions can become strong and classical solutions under appropriate assumptions. Finally, we present an example to illustrate the applicability of our results.
  • 关键词:fractional neutral evolution equations ; almost sectorial operators ; fixed point theorems ; existence and uniqueness ; mild solutions ; strong solutions and classical solutions
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