Uniqueness results for nonlinear fractional differential equations with infinite-point integral boundary conditions

被引：14
|
作者：
Liu, Suli [1 ]
Liu, Junpeng [1 ]
Dai, Qun [2 ]
Li, Huilai [1 ]
机构：
[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China
[2] Changchun Univ Sci & Technol, Coll Sci, Changchun 130022, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 03期
关键词：
Fractional differential equations; infinite-point integral boundary condition; u(0)-positive operator; fixed point index theory;
D O I：
10.22436/jnsa.010.03.37
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a class of nonlinear fractional differential equations involving the Riemann-Liouville fractional derivative with infinite-point integral boundary conditions. Our analysis relies on the fixed point index theory and u(0)-positive operator. An example is given for the illustration of the main work. (C) 2017 All rights reserved.
引用
收藏
页码：1281 / 1288
页数：8
相关论文
共 50 条
  • [21] Unique solutions for new fractional differential equations with p-Laplacian and infinite-point boundary conditions
    Wang, Li
    Zhai, Chengbo
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2019, 9 (01) : 1 - 13
  • [22] Existence of solutions to a coupled system of fractional differential equations with infinite-point boundary value conditions at resonance
    Lei Hu
    Advances in Difference Equations, 2016
  • [23] Positive solutions to p-Laplacian fractional differential equations with infinite-point boundary value conditions
    Han Wang
    Suli Liu
    Huilai Li
    Advances in Difference Equations, 2018
  • [24] The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval
    Li, Xiaochen
    Liu, Xiping
    Jia, Mei
    Zhang, Luchao
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [25] EXISTENCE RESULTS FOR COUPLED NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH COUPLED STRIP AND INFINITE POINT BOUNDARY CONDITIONS
    Yan, Rian
    Ma, Qiang
    Ding, Xiaohua
    FIXED POINT THEORY, 2021, 22 (02): : 913 - 931
  • [26] Existence and Uniqueness Results for Caputo Fractional Differential Equations with Integral Boundary Value Conditions
    Xue Yimin
    Dai Zhenxiang
    Liu Jie
    Su Ying
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2018, 31 (01): : 56 - 70
  • [27] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH THREE-POINT FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
    Vats, Ramesh Kumar
    Verma, Sachin Kumar
    Nain, Ankit Kumar
    Sihag, Vizendar
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2018, 18 (01): : 181 - 195
  • [28] Existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions
    Zhang, Haiyan
    Li, Yaohong
    Lu, Wei
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2434 - 2447
  • [29] New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions
    Bashir Ahmad
    Sotiris K. Ntouyas
    Ahmed Alsaedi
    Advances in Difference Equations, 2011
  • [30] New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    ADVANCES IN DIFFERENCE EQUATIONS, 2011,
12345