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  • 标题:Generalized Monotone Iterative Technique for Caputo Fractional Differential Equation with Periodic Boundary Condition via Initial Value Problem
  • 本地全文:下载
  • 作者:J. D. Ramírez ; A. S. Vatsala
  • 期刊名称:International Journal of Differential Equations
  • 印刷版ISSN:1687-9643
  • 电子版ISSN:1687-9651
  • 出版年度:2012
  • 卷号:2012
  • DOI:10.1155/2012/842813
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We develop a generalized monotone method using coupled lower and upper solutions for Caputo fractional differential equations with periodic boundary conditions of order , where . We develop results which provide natural monotone sequences or intertwined monotone sequences which converge uniformly and monotonically to coupled minimal and maximal periodic solutions. However, these monotone iterates are solutions of linear initial value problems which are easier to compute.
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