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EXISTENCE OF TRIPLE POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION DEPENDING ON A PARAMETER 被引量：2

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摘要 In this paper,we establish the existence of three positive solutions to a nonlinear fractional differential equation by the Leggett-Williams fixed point theorem.
作者 Shugui Kang Yan Li Jianmin Guo
机构地区 Applied of Math.Institute Dept.of Math.
出处 《Annals of Differential Equations》 2012年第4期396-403,共8页 微分方程年刊(英文版)
基金 supported by the Natural Science Foundation of Shanxi Province(2008011002-1) Shanxi Datong University Institute(2009-Y-15 2010-B-01) the Development Foundation of Higher Education Department of Shanxi Province(20101109 20111020)
关键词 boundary value problem fractional differential equation positive solution CONE fixed point theorem
分类号 O175.8 [理学—基础数学]
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参考文献7

  • 1张淑琴.EXISTENCE OF SOLUTION FOR A BOUNDARY VALUE PROBLEM OF FRACTIONAL ORDER[J].Acta Mathematica Scientia,2006,26(2):220-228. 被引量：27
  • 2.
  • 3El-Shahed M.Positive solutions for boundary value problem of nonlinear fractional dif-ferential equation[].Appllication Analysis.2007
  • 4Leggett R W,Williams L R.Multiple positive fixed points of nonlinear operators on ordered Banach spaces[].Indiana University Mathematics Journal.1979
  • 5Zhang S Q.Positive solutions for boundary-value problems of nonlinear fractional differential equations[].Electronic Journal of Differential Equations The.2006
  • 6Zhanbing Bai,Haishen Lv.Positive solutions for boundary value problem of nonlinear frac-tional differential equation[].Journal of Mathematical Analysis and Applications.2005
  • 7Shuqin Zhang.The existence of a positive solution for a nonlinear fractional differential equa-tion[].Journal of Mathematical Analysis and Applications.2000

二级参考文献9

  • 1Bielicki A.Une remark Sur La methods be Banach Caccioppolitikhanov dans la theorie de equation differentiebles ordinaries.Bull de L'academic polonaise des sciences,Ser Sci cl As.4,1975
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  • 6Aleroev T S.The Sturm-Loiuville problem for a second order ordinary differential equation with fractional derivatives in the lower terms (Russian).Differential'nye Uravneniya,1982,18(2):341-342
  • 7Zhang Shuqin.The existence of a positive solution for a nonlinear fractional differential equation.J Math Anal Appl,2000,252:804-812
  • 8Zhang Shuqin.Positive solution for some class of nonlinear fractional differential equation.J Math Anal Appl,2003,278(1):136-148
  • 9O'Regan D.Some general existence principles and results for (ψ(y'))' = q(t)f(t,y,y'),0 ＜ t ＜ 1.SIAM J Math Anal,1993,24:648-668

共引文献26

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二级引证文献1

Annals of Differential Equations
2012年 第4期

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