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带有积分边值条件的分数阶微分方程的多个解的存在性

Existence of Multiple Solutions of Fractional Differential Equations with Integral Boundary Value Conditions
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摘要 运用Avery-peterson不动点定理考虑了带有积分边值条件的非线性分数阶微分方程边值问题多个正解的存在性。 By using Avery-peterson fixed point theorem to consider the existence of multiple positive solutions for the boundary value problems of nonlinear differential equations with integral boundary value conditions.
作者 王聪 许友军 龚爱爱 WANG Cong;XU Youjun;GONG Aiai(School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China)
机构地区 南华大学数理学院
出处 《南华大学学报（自然科学版）》 2019年第6期46-51,共6页 Journal of University of South China：Science and Technology
基金 国家自然科学基金项目(11126170) 湖南省自然科学基金项目(2015JJ2127) 湖南省教育教学改革研究项目(JG2014B048)
关键词 分数阶微分方程 积分边值条件 格林函数 正解 fractional differential equation integral boundary condition Green function positive solution
分类号 O175.8 [理学—基础数学]
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二级参考文献43

  • 1Mei Jia,Xiping Liu.Multiplicity of solutions for integral boundary value problems of fractional differential equations with upper and lower solutions[J].Applied Mathematics and Computation.2014
  • 2Alberto Cabada,Zakaria Hamdi.Nonlinear fractional differential equations with integral boundary value conditions[J].Applied Mathematics and Computation.2014
  • 3Alberto Cabada,Guotao Wang.Positive solutions of nonlinear fractional differential equations with integral boundary value conditions[J].Journal of Mathematical Analysis and Applications.2011(1)
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  • 7C.F. Li,X.N. Luo,Yong Zhou.Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations[J].Computers and Mathematics with Applications.2009(3)
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  • 10Bai Z B. On positive solutions of a nonlocal fractional boundary value problem. Nonlinear Anal., 2010, 72(2): 916-924.

共引文献39

南华大学学报（自然科学版）
2019年 第6期

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