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一类带非线性边界条件的分数阶微分方程解的存在性 被引量：1

Existence of Solutions for Fractional Differential Equations with Nonlinear Boundary Conditions
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摘要 运用了上下解和单调迭代方法,研究带有非线性边界条件的分数阶微分方程解的存在性. By using of the upper and lower solutions and monotone iterative method , we investigate the exist-ence and uniqueness of fractional differential equations with nonlinear boundary conditions in this paper .
作者 荣杰 柏传志
机构地区 江苏师范大学数学科学学院 淮阴师范学院数学科学学院
出处 《淮阴师范学院学报（自然科学版）》 CAS 2014年第4期283-286,共4页 Journal of Huaiyin Teachers College;Natural Science Edition
基金 国家自然科学基金资助项目(11271364) 江苏省自然科学基金资助项目(BK2011407)
关键词 上下解 单调迭代法 分数阶边值问题 upper and lower solutions monotone iterative method fractional boundary value problem
分类号 O175.8 [理学—基础数学]
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参考文献10

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同被引文献9

  • 1Liu B M, Liu L S, Wu Y H. Multiple Solutions of Singular Three-point Boundary Value Problems on (0,∞)[J]. Non- linear Anal, 2009,70:3348-3357.
  • 2Yan B, Liu Y. Unbounded Solutions of the Singular Boundary Value Problems for Second Order Differential Equations on the Half-line[J].Appl Math Comput, 2004,147:629-644.
  • 3Lian H R, Ge W G. Solvability for Second-order Three-point Boundary Value Problems on a Half-line[J]. Appl Math Lett, 2006,19:1000-1006.
  • 4Bai Z B, Ge W G, Wang Y F. Multiplicity Results for Some Second-order Four-point Boundary Value Problems[J]. Nonlinear Anal, 2005,60:491-500.
  • 5Zhang Q M, Jiang D Q. Upper and Lower Solutions Method and a Second Order Three-point Singular Boundary Value Problem[J].Comput Math Appl, 2008,56 : 1059- 1070.
  • 6Nieto J J. Basic Theory for Nonresonaance Impulsive Periodic Problems of First Order[J].J Math Anal Appl, 1997, 205:423-433.
  • 7许晓婕,孙新国,吕炜.非线性分数阶微分方程边值问题正解的存在性[J].数学物理学报（A辑）,2011,31(2):401-409. 被引量：19
  • 8朱晓慧.一类分数阶微分方程反周期边值问题解的存在性[J].金陵科技学院学报,2011,27(3):7-9. 被引量：2
  • 9杨丹丹.带有积分边值条件的分数阶微分包含解的存在性[J].浙江大学学报（理学版）,2015,42(6):687-691. 被引量：5

引证文献1

淮阴师范学院学报（自然科学版）
2014年 第4期

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