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分数阶微分方程边值问题解的存在性 被引量：2

The Existence of Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation
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摘要 利用schauder不动点定理的理论给出非线性分数阶微分方程边值问题解的存在性. The existence result of solution is obtained by means of Schauder fixed-point theorem.
作者 朱向东 汤建钢 邱中蔚
机构地区 伊犁师范学院数学与统计学院
出处 《伊犁师范学院学报（自然科学版）》 2012年第1期1-4,共4页 Journal of Yili Normal University：Natural Science Edition
基金 新疆维吾尔自治区自然科学基金(2011211A051)
关键词 分数阶微分方程 边值问题 格林函数 Schaulder不动点定理 fractional differential equation boundary-value problem green＇s function Schaulder Fixed-point theorem
分类号 O175.1 [理学—基础数学]
  • 相关文献

参考文献4

  • 1Su Xinwei Liu Landong.EXISTENCE OF SOLUTION FOR BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION[J].Applied Mathematics(A Journal of Chinese Universities),2007,22(3):291-298. 被引量：10
  • 2D.Delbosco.Fractional calculus and function spaces[].JFractCalc.1996
  • 3A.Babakhani,V.D.Gejji.Existence of positive solutions of nonlinear fractional differential equations[].Journal of Mathematical Analysis and Applications.2003
  • 4Delbosco D,Rodino L.Existence and uniqueness for a nonlinear fractional differential equation[].Journal of Mathematical.1996

二级参考文献7

  • 1Bai Z B,Lü H S.Positive solutions for boundary value problem of nonlinear fractional differential equation,J Math Anal Appl,2005,311:495-505.
  • 2Zhang S Q.Positive solutions for boundary-value problems of nonlinear fractional differential equations,Electronic Journal of Differential Equations,2006,36:1-12.
  • 3Samko S G,Kilbas A A,Marichev O I.Fractional Integrals and Derivatives(Theory and Applications),Yverdon,Switzerland:Gordon and Breach,1993.
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  • 5Delbosco D,Rodino L.Existence and uniqueness for a nonlinear fractional differential equation,J Math Anal Appl,1996,204:609-625.
  • 6Gejji V D,Jafari H.Adomian decomposition:a tool for solving a system of fractional differential equations,J Math Anal Appl,2005,301:508-518.
  • 7Schmitt K.A nonlinear boundary value problem,Journal of Differential Equations,1970,7:527-537.

共引文献9

同被引文献22

  • 1钟文勇.分数阶微分方程多点边值问题的正解[J].吉首大学学报（自然科学版）,2010,31(1):9-12. 被引量：9
  • 2LiHongyu,SunJingxian.POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR A SYSTEM OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2005,21(2):153-160. 被引量：19
  • 3Wong F H. Existence of positive solutions of singular boundary value problems [J ]. Nonlinear Anal, 1993, 21: 397-406.
  • 4K S Ha, Y.H. Lee. Existence of multiple positive solutions of singular boundary value problems [J]. Nonlinear Anal, 1998, 28 37 -44.
  • 5Agarwal R P, O' Regan D. A note on existence of nonnegative solutions to singular semipositone problems [J ]. Nonlinear Anal, 1999, 36(5) : 615-622.
  • 6Ma R Y.. Positive solutions of nonlinear three-point boundary value problem [ J ]. Electron. J. Differential Equations, 1999, 34: 1-8.
  • 7D. O'Regan. Semipositone higher-order differential equations [J ]. Appl. Math. Lett, 2004, 17:201-207.
  • 8Zhang X G, Liu L S. Positive solutions of superlinear semipositone singular Dirichlet boundary value problems [J]. JMath Anal Appl, 2006, 316(2): 525-537.
  • 9Agarwal R P, O'Regan D. A coupled system of boundary value problems[J]. ApplAnal, 1998, 69: 381-385.
  • 10Xu X. Positive solutions for singular semipositone three-point systems [J]. Nonlinear Anal, 2007, 66: 791-805.

引证文献2

二级引证文献4

伊犁师范学院学报（自然科学版）
2012年 第1期

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