Existence and Uniqueness of Solutions for Fractional Boundary Value Problem with Fractional Boundary Value Conditions

被引:0
|
作者
Xiannan Luo
Shancui Guo
机构
[1] Xiangtan University,School of Mathematics and Computing science
关键词
Discrete fractional calculus; Green’s function; Existence of solutions; Fractional boundary value condition; 39A05; 26A33;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we introduce a discrete fractional boundary value problem with fractional boundary value condition. We construct and deduce Green’s function for this problem satisfies certain properties. By means of some fixed point theorems, existence and uniqueness results of solutions are obtained.
引用
收藏
页码:1 / 17
页数:16
相关论文
共 50 条
  • [1] Existence and Uniqueness of Solutions for Fractional Boundary Value Problem with Fractional Boundary Value Conditions
    Luo, Xiannan
    Guo, Shancui
    [J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2014, 13 (01) : 1 - 17
  • [2] Existence and uniqueness of solutions for a fractional boundary value problem on a graph
    John R. Graef
    Lingju Kong
    Min Wang
    [J]. Fractional Calculus and Applied Analysis, 2014, 17 : 499 - 510
  • [3] Existence and uniqueness of solutions for a fractional boundary value problem on a graph
    Graef, John R.
    Kong, Lingju
    Wang, Min
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (02) : 499 - 510
  • [4] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A FRACTIONAL BOUNDARY VALUE PROBLEM WITH DIRICHLET BOUNDARY CONDITION
    Graef, John R.
    Kong, Lingju
    Kong, Qingkai
    Wang, Min
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (55) : 1 - 11
  • [5] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A FRACTIONAL BOUNDARY VALUE PROBLEM WITH A SEPARATED BOUNDARY CONDITION
    Kong, Lingju
    Kong, Qingkai
    Wang, Min
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2014, 23 (04): : 691 - 697
  • [6] 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,
  • [7] 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
  • [8] Existence and Uniqueness of Solutions for a Boundary Value Problem of Fractional Type with Nonlocal Integral Boundary Conditions in Holder Spaces
    Cabrera, I.
    Harjani, J.
    Sadarangani, K.
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (03)
  • [9] Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem
    Ahmadkhanlu, Asghar
    Jamshidzadeh, Shabnam
    [J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2024, 12 (04): : 741 - 748
  • [10] On a fractional boundary value problem with fractional boundary conditions
    Goodrich, Christopher S.
    [J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (08) : 1101 - 1105