Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operator

被引:21
|
作者
Tian, Yuansheng [1 ]
Bai, Zhanbing [2 ]
Sun, Sujing [2 ]
机构
[1] Xiangnan Univ, Coll Math & Finance, Chenzhou, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
Fractional differential equation; Boundary value problem; p-Laplacian operator; Positive solution; MONOTONE ITERATIVE TECHNIQUE; BLOW-UP SOLUTIONS; EXISTENCE; SOLVABILITY; SYSTEMS; UNIQUENESS;
D O I
10.1186/s13662-019-2280-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the existence of a positive solution to a boundary value problem of fractional differential equations with the p-Laplacian operator is studied. By applying a monotone iterative method, some existence results of positive solutions are obtained. In addition, an example is included to illustrate the main results.
引用
收藏
页数:14
相关论文
共 50 条
  • [1] Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator
    Guoqing Chai
    [J]. Boundary Value Problems, 2012
  • [2] Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operator
    Yuansheng Tian
    Zhanbing Bai
    Sujing Sun
    [J]. Advances in Difference Equations, 2019
  • [3] Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator
    Chai, Guoqing
    [J]. BOUNDARY VALUE PROBLEMS, 2012,
  • [4] Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator
    Lu, Hongling
    Han, Zhenlai
    Zhang, Chao
    Zhao, Yan
    [J]. Finite Difference Methods, Theory and Applications, 2015, 9045 : 274 - 281
  • [5] Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with P-Laplacian Operator
    Jiang, Min
    Zhong, Shouming
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [6] Positive solutions for a fractional boundary value problem with p-Laplacian operator
    Ding Y.
    Wei Z.
    Xu J.
    [J]. Journal of Applied Mathematics and Computing, 2013, 41 (1-2) : 257 - 268
  • [7] Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with p-Laplacian Operator
    Yao, Shang-lin
    Wang, Guo-hui
    Li, Zhi-ping
    Yu, Li-jun
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
  • [8] A boundary value problem for fractional differential equation with p-Laplacian operator at resonance
    Chen, Taiyong
    Liu, Wenbin
    Hu, Zhigang
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (06) : 3210 - 3217
  • [9] Positive Solutions of Fractional Differential Equation with p-Laplacian Operator
    Ren, Teng
    Chen, Xiaochun
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [10] POSITIVE SOLUTIONS FOR A NONLINEAR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM WITH A P-LAPLACIAN OPERATOR
    Cheng, Wei
    Xu, Jiafa
    O'Regan, Donal
    Cui, Yujun
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (05): : 1959 - 1972