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文章基本信息

  • 标题:Almost Automorphic Solutions to Abstract Fractional Differential Equations
  • 本地全文:下载
  • 作者:Hui-Sheng Ding ; Jin Liang ; Ti-Jun Xiao
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2010
  • 卷号:2010
  • DOI:10.1155/2010/508374
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equation D t α u ( t ) = A u ( t ) + D t α − 1 f ( t , u ( t ) )     ( 1 < α < 2 ) , in complex Banach spaces, with Stepanov-like almost automorphic coefficients . Moreover, an application to a fractional relaxation-oscillation equation is given.

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