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
  • [11] Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and p-Laplacian operator
    Hao, Xinan
    Wang, Huaqing
    Liu, Lishan
    Cui, Yujun
    [J]. BOUNDARY VALUE PROBLEMS, 2017,
  • [12] Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions
    Jiang, Jiqiang
    Liu, Lishan
    Wu, Yonghong
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [13] Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method
    Jleli, Mohamed
    Samet, Bessem
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2015, 20 (03): : 367 - 376
  • [14] Kilbas AA., 2006, Theory and Applications of Fractional Differential Equations, DOI 10.1016/S0304-0208(06)80001-0
  • [15] Triple positive solutions of a boundary value problem for nonlinear singular second-order differential equations of mixed type with p-Laplacian
    Kong, Debin
    Liu, Lishan
    Wu, Yonghong
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (07) : 1425 - 1432
  • [16] Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
    Li, Hongdan
    Liu, Lishan
    Wu, Yonghong
    [J]. BOUNDARY VALUE PROBLEMS, 2015, : 1 - 15
  • [17] LI Y., 2013, J FUNCT SPACE APPL, V2013
  • [18] Liu Lanping, 2017, Jimei Daxue Xuebao Ziran Kexue Ban, V22, P1
  • [19] Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level
    Liu, Lishan
    Sun, Fenglong
    Wu, Yonghong
    [J]. BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)
  • [20] Existence and uniqueness of positive solutions for singular fractional differential systems with coupled integral boundary conditions
    Liu, Lishan
    Li, Hongdan
    Liu, Chun
    Wu, Yonghong
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (01): : 243 - 262
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