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  • 标题:Monotone iterative technique for impulsive fractional evolution equations with noncompact semigroup
  • 本地全文:下载
  • 作者:Lingzhong Zhang ; Yue Liang
  • 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:324
  • DOI:10.1186/s13662-015-0665-6
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper deals with the existence of mild solutions for a class of Caputo fractional impulsive evolution equation with nonlocal condition and noncompact semigroup. By using a monotone iterative technique in the presence of coupled lower and upper L-quasi-solutions and using Sadovskii’s fixed point theorem, some existence theorems are obtained. The discussion is based on operator semigroup theory.
  • 关键词:impulsive fractional evolution equation ; coupled mild l -quasi-solutions ; mild solutions ; mixed monotone iterative technique
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