EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO FRACTIONAL BOUNDARY VALUE PROBLEMS

被引:0
|
作者
Li Xu [1 ]
Chengbo Zhai [1 ]
机构
[1] School of Mathematical Sciences, Shanxi University
关键词
fractional order derivative; positive solution; general β-concave operator; fractional boundary value problem;
D O I
暂无
中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
In this paper, using fixed point theorems of general β-concave operators in ordered Banach space, we obtain the existence and uniqueness of positive solutions to a class of fractional boundary problem. In the end, an example is given to illustrate our main result.
引用
收藏
页码:352 / 358
页数:7
相关论文
共 50 条
  • [1] EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO FRACTIONAL BOUNDARY VALUE PROBLEMS
    Li Xu
    Chengbo Zhai
    [J]. Annals of Differential Equations, 2014, 30 (03) : 352 - 358
  • [2] On existence and uniqueness of positive solutions to a class of fractional boundary value problems
    Caballero, J.
    Harjani, J.
    Sadarangani, K.
    [J]. BOUNDARY VALUE PROBLEMS, 2011, : 1 - 9
  • [3] On existence and uniqueness of positive solutions to a class of fractional boundary value problems
    J Caballero
    J Harjani
    K Sadarangani
    [J]. Boundary Value Problems, 2011
  • [4] Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions
    Nyamoradi, Nemat
    Baleanu, Dumitru
    Agarwal, Ravi P.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [5] Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions
    Nemat Nyamoradi
    Dumitru Baleanu
    Ravi P Agarwal
    [J]. Advances in Difference Equations, 2013
  • [6] Existence and Uniqueness of Positive Solutions for Boundary Value Problems of Fractional Differential Equations
    Afshari, Hojjat
    Marasi, Hamidreza
    Aydi, Hassen
    [J]. FILOMAT, 2017, 31 (09) : 2675 - 2682
  • [7] Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems
    Mena, J. Caballero
    Harjani, J.
    Sadarangani, K.
    [J]. BOUNDARY VALUE PROBLEMS, 2009,
  • [8] Existence and uniqueness of positive solutions for boundary value problems of a fractional differential equation with a parameter
    Yang, Chen
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (03): : 659 - 667
  • [9] Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems
    J Caballero Mena
    J Harjani
    K Sadarangani
    [J]. Boundary Value Problems, 2009
  • [10] EXISTENCE OF POSITIVE SOLUTIONS FOR FRACTIONAL BOUNDARY VALUE PROBLEMS
    Ege, Serife Muge
    Topal, Fatma Serap
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (02): : 702 - 712