Unique iterative positive solutions for a singular p-Laplacian fractional differential equation system with infinite-point boundary conditions

被引：13
作者：
Guo, Limin [1 ]
Liu, Lishan [2 ,3 ]
机构：
[1] Changzhou Inst Technol, Sch Sci, Changzhou, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China
[3] Curtin Univ, Dept Math & Stat, Perth, WA, Australia
来源：
BOUNDARY VALUE PROBLEMS | 2019年 / 2019卷 / 1期
基金：
中国国家自然科学基金;
关键词：
Fractional differential equation system; Infinite-point; Singular p-Laplacian; Iterative positive solution; EXISTENCE; EIGENVALUE;
D O I：
10.1186/s13661-019-1227-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the method of mixed monotone operator, a unique positive solution is obtained for a singular p-Laplacian boundary value system with infinite-point boundary conditions in this paper. Green's function is derived and some useful properties of the Green's function are obtained. Based upon these new properties and by using mixed monotone operator, the existence results of the positive solutions for the boundary value problem are established. Moreover, the unique positive solution that we obtained in this paper is dependent on ,, and an iterative sequence and convergence rate, which are important for practical application, are given. An example is given to demonstrate the application of our main results.
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页数：22
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共 49 条
  • [1] Existence and uniqueness of solutions for singular integral equation
    Cao, Zhongwei
    Jiang, Daqing
    Yuan, Chengjun
    O'Regan, Donal
    [J]. POSITIVITY, 2008, 12 (04) : 725 - 732
  • [2] Uniqueness of solution for boundary value problems for fractional differential equations
    Cui, Yujun
    [J]. APPLIED MATHEMATICS LETTERS, 2016, 51 : 48 - 54
  • [3] Du Y., 2002, ADV DIFFER EQU, V7
  • [4] Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
    Goodrich, Christopher S.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) : 191 - 202
  • [5] Guo D., 2004, Partial Ordering Methods in Nonlinear Problems
  • [6] Maximal and minimal iterative positive solutions for singular infinite-point p-Laplacian fractional differential equations
    Guo, Limin
    Liu, Lishan
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2018, 23 (06): : 851 - 865
  • [7] Iterative unique positive solutions for singular p-Laplacian fractional differential equation system with several parameters
    Guo, Limin
    Liu, Lishan
    Wu, Yonghong
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2018, 23 (02): : 182 - 203
  • [8] Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions
    Guo, Limin
    Liu, Lishan
    Wu, Yonghong
    [J]. BOUNDARY VALUE PROBLEMS, 2016,
  • [9] Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
    Guo, Limin
    Liu, Lishan
    Wu, Yonghong
    [J]. BOUNDARY VALUE PROBLEMS, 2016,
  • [10] Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions
    Guo, Limin
    Liu, Lishan
    Wu, Yonghong
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (05): : 635 - 650
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