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文章基本信息

  • 标题:Nonlinear sequential Riemann–Liouville and Caputo fractional differential equations with generalized fractional integral conditions
  • 作者:Chanon Promsakon ; Nawapol Phuangthong ; Sotiris K. Ntouyas
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:385
  • DOI:10.1186/s13662-018-1854-x
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we discuss the existence and uniqueness of solutions for two new classes of sequential fractional differential equations of Riemann–Liouville and Caputo types with generalized fractional integral boundary conditions, by using standard fixed point theorems. In addition, we also demonstrate the application of the obtained results with the aid of examples.
  • 关键词:Fractional derivatives ; Generalized fractional integrals ; Boundary value problems ; Existence ; Uniqueness ; Fixed point theorems
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