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  • 标题:Periodic Solutions and -Asymptotically Periodic Solutions to Fractional Evolution Equations
  • 本地全文:下载
  • 作者:Jia Mu ; Yong Zhou ; Li Peng
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2017
  • 卷号:2017
  • DOI:10.1155/2017/1364532
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper deals with the existence and uniqueness of periodic solutions, -asymptotically periodic solutions, and other types of bounded solutions for some fractional evolution equations with the Weyl-Liouville fractional derivative defined for periodic functions. Applying Fourier transform we give reasonable definitions of mild solutions. Then we accurately estimate the spectral radius of resolvent operator and obtain some existence and uniqueness results.
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