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  • 标题:Fractional neutral evolution equations with nonlocal conditions
  • 本地全文:下载
  • 作者:Hamdy M Ahmed
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:117
  • DOI:10.1186/1687-1847-2013-117
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In the present paper, we deal with the fractional neutral differential equations involving nonlocal initial conditions. The existence of mild solutions are established. The results are obtained by using the fractional power of operators and the Sadovskii’s fixed point theorem. An application to a fractional partial differential equation with nonlocal initial condition is also considered. MSC:26A33, 34K30, 34K37, 34K40.
  • 关键词:fractional calculus ; semilinear neutral differential equations ; semigroups ; nonlocal conditions ; mild solutions ; Sadovskii fixed-point theorem
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