Existence of positive solutions for fractional differential equation with integral boundary conditions on the half-line

被引：9
|
作者：
Jia, Mei [1 ]
Zhang, Haibin [1 ]
Chen, Qiang [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2016年
基金：
中国国家自然科学基金;
关键词：
Caputo derivative; integral boundary conditions; half-line; positive solutions; fixed point theorems; INFINITE INTERVAL; P-LAPLACIAN;
D O I：
10.1186/s13661-016-0614-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the existence of positive solutions for fractional-order nonlinear differential equation with integral boundary conditions on the half-infinite interval. By using the fixed point theorem in a cone, sufficient conditions for the existence of at least one or at least two positive solutions of a boundary value problem are established. These theorems also reveal the properties of solutions on the half-line.
引用
收藏
页数：16
相关论文
共 50 条
  • [21] Existence of Multiple Positive Solutions for Nonlinear Fractional Boundary Value Problems on the Half-Line
    Toumi, Faten
    El Abidine, Zagharide Zine
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 2353 - 2364
  • [22] Existence of solutions for Riemann-Liouville fractional differential equations with nonlocal Erdelyi-Kober integral boundary conditions on the half-line
    Thiramanus, Phollakrit
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    BOUNDARY VALUE PROBLEMS, 2015,
  • [23] Existence of Multiple Positive Solutions for Nonlinear Fractional Boundary Value Problems on the Half-Line
    Faten Toumi
    Zagharide Zine El Abidine
    Mediterranean Journal of Mathematics, 2016, 13 : 2353 - 2364
  • [24] Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives
    Xiaoqian Liu
    Lishan Liu
    Yonghong Wu
    Boundary Value Problems, 2018
  • [25] Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives
    Liu, Xiaoqian
    Liu, Lishan
    Wu, Yonghong
    BOUNDARY VALUE PROBLEMS, 2018,
  • [26] Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions
    Li, Min
    Sun, Jian-Ping
    Zhao, Ya-Hong
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
  • [27] The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions
    Feng, Meiqiang
    Liu, Xiaofang
    Feng, Hanying
    ADVANCES IN DIFFERENCE EQUATIONS, 2011,
  • [28] The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions
    Meiqiang Feng
    Xiaofang Liu
    Hanying Feng
    Advances in Difference Equations, 2011
  • [29] Existence of solutions for Riemann-Liouville fractional differential equations with nonlocal Erdélyi-Kober integral boundary conditions on the half-line
    Phollakrit Thiramanus
    Sotiris K Ntouyas
    Jessada Tariboon
    Boundary Value Problems, 2015
  • [30] EXISTENCE OF SOLUTIONS OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH FRACTIONAL DERIVATIVE AND FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
    Nain, Ankit Kumar
    Vats, Ramesh Kumar
    Verma, Sachin Kumar
    Sihag, Vizendar
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2018, 18 (01): : 75 - 84
12345