Existence results for multi-point boundary value problem to singular fractional differential equations with a positive parameter

被引:0
|
作者
Cheng, Tingzhi [1 ]
Xu, Xianghui [1 ]
机构
[1] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Shandong, Peoples R China
关键词
Fractional differential equation; Multi-point boundary value problem; Generalized laplacian; Singular weight; Positive solution; P-LAPLACIAN OPERATOR; SYSTEM;
D O I
10.1007/s12190-021-01690-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with a multi-point boundary value problem for a generalized Laplacian fractional differential equation with both singular weight and positive parameter. By means of Guo-Krasnoselskii and Schauder's fixed point theorems, we discuss the number of positive solutions in terms of different ranges of the positive parameter. Moreover, two examples are given to illustrate the main results.
引用
收藏
页码:3721 / 3746
页数:26
相关论文
共 50 条
  • [1] Existence results for multi-point boundary value problem to singular fractional differential equations with a positive parameter
    Tingzhi Cheng
    Xianghui Xu
    Journal of Applied Mathematics and Computing, 2022, 68 : 3721 - 3746
  • [2] Uniqueness and existence of positive solutions for a multi-point boundary value problem of singular fractional differential equations
    Zhou, Wen-Xue
    Chu, Yan-Dong
    Baleanu, Dumitru
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [3] Uniqueness and existence of positive solutions for a multi-point boundary value problem of singular fractional differential equations
    Wen-Xue Zhou
    Yan-Dong Chu
    Dumitru Băleanu
    Advances in Difference Equations, 2013
  • [4] The Existence of Positive Solutions for Multi-point boundary value problems of fractional differential equations
    Jiang, Weihua
    Wang, Bin
    Wang, Zhenji
    INTERNATIONAL CONFERENCE ON SOLID STATE DEVICES AND MATERIALS SCIENCE, 2012, 25 : 958 - 964
  • [5] EXISTENCE RESULTS FOR MULTI-POINT NONLINEAR BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
    Ahmad, Bashir
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2010, 49 : 83 - 94
  • [6] Stability theory and existence of solution to a multi-point boundary value problem of fractional differential equations
    Zamir, Muhammad
    Shah, Kamal
    Chohan, Muhammad Ikhlaq
    MATHEMATICAL SCIENCES, 2019, 13 (01) : 53 - 60
  • [7] Stability theory and existence of solution to a multi-point boundary value problem of fractional differential equations
    Muhammad Zamir
    Kamal Shah
    Muhammad Ikhlaq Chohan
    Mathematical Sciences, 2019, 13 : 53 - 60
  • [8] Existence results for fractional differential equations with integral and multi-point boundary conditions
    Youyu Wang
    Shuilian Liang
    Qichao Wang
    Boundary Value Problems, 2018
  • [9] Existence results for fractional differential equations with integral and multi-point boundary conditions
    Wang, Youyu
    Liang, Shuilian
    Wang, Qichao
    BOUNDARY VALUE PROBLEMS, 2018,
  • [10] The existence of solutions for a fractional multi-point boundary value problem
    Bai, Zhanbing
    Zhang, Yinghan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (08) : 2364 - 2372