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分数微分方程反周期边值问题解的存在性

Existence of Solutions to Anti-periodic Boundary Value Problem for Nonlinear Fractional Differential Equations
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摘要 利用Banach不动点定理和Krasnosel’s kii不动点定理研究了一类分数微分方程反周期边值问题解的存在性. This article makes a study of the existence of solutions to anti-periodic boundary value problem for non-linear fractional differential equations by using Banach fixed - point theorem and Krasnosel' skii fxed-point theorem.
出处 《湘南学院学报》 2010年第5期18-23,共6页 Journal of Xiangnan University
关键词 反周期边值问题 分数微分方程 不动点定理 anti-periodic boundary value problem fractional differential equation fixed-point theorem
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参考文献5

  • 1M Belmekki,J J Nieto,R R López.Existence of periodic solution for a nonlinear fractional differential equation,Boundary Value Problems.2009(2009)doi:10.1155/2009/324561.
  • 2B Ahmad,V O Espinar.Existence of solutions for fractional differential inclusions with antiperiodic boundary conditions,Boundary Value Problems.2009(2009)doi:10.1155/2009/625347.
  • 3V Lakshmikantham,S Leela,J V Devi.Theory of Fractional Dynamic Systems,Cambridge Academic,Cambridge,UK,2009.
  • 4M A Krasnoselskii.Positive Solutions of Operator Equations,Noordhoff,Groningen,1964.
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