POSITIVE SOLUTIONS FOR FRACTIONAL INTEGRAL BOUNDARY VALUE PROBLEM WITH DERIVATIVE DEPENDENCE

被引：1
|
作者：
Shen, Changsong [1 ]
Hao, Xinan [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2023年 / 53卷 / 04期
基金：
中国国家自然科学基金;
关键词：
fractional integral boundary value problem; fixed-point index; positive solution; existence; multiplicity;
D O I：
10.1216/rmj.2023.53.1265
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the positive solutions for fractional integral boundary value problem with derivative dependence. Some properties of the associated Green function are established. By using the Guo-Krasnoselskii fixed-point theorem on cones, the existence results for positive solutions are obtained. Under certain monotone-type assumption on the nonlinearity, we establish the criteria of existence, multiplicity and nonexistence of positive solutions via the fixed-point index theory.
引用
收藏
页码：1265 / 1283
页数：19
相关论文
共 50 条
  • [1] Positive solutions for a system of fractional integral boundary value problem
    Wang, Yong
    [J]. BOUNDARY VALUE PROBLEMS, 2013,
  • [2] Positive solutions for a system of fractional integral boundary value problem
    Yong Wang
    [J]. Boundary Value Problems, 2013
  • [3] Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence
    Xie, Wenzhe
    Xiao, Jing
    Luo, Zhiguo
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [4] Positive solutions for an impulsive boundary value problem with Caputo fractional derivative
    Zhang, Keyu
    Xu, Jiafa
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4628 - 4638
  • [5] Positive solutions for fractional boundary value problems with integral boundary conditions and parameter dependence
    Abbas, Hafida
    Belmekki, Mohammed
    Cabada, Alberto
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (05):
  • [6] Positive solutions for fractional boundary value problems with integral boundary conditions and parameter dependence
    Hafida Abbas
    Mohammed Belmekki
    Alberto Cabada
    [J]. Computational and Applied Mathematics, 2021, 40
  • [7] On The Existence of Positive Solutions for a Local Fractional Boundary Value Problem with an Integral Boundary Condition
    Ahmadkhanlu, Asghar
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (03): : 53 - 66
  • [8] Existence of Solutions for a Periodic Boundary Value Problem with Impulse and Fractional Derivative Dependence
    Li, Yaohong
    Wang, Yongqing
    O'Regan, Donal
    Xu, Jiafa
    [J]. JOURNAL OF MATHEMATICS, 2020, 2020
  • [9] Positive solutions for a boundary-value problem with Riemann–Liouville fractional derivative*
    Jiafa Xu
    Zhongli Wei
    Youzheng Ding
    [J]. Lithuanian Mathematical Journal, 2012, 52 : 462 - 476
  • [10] 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
12345