Positive solutions for a system of fractional differential equations with coupled integral boundary conditions

被引:46
|
作者
Henderson, Johnny [1 ]
Luca, Rodica [2 ]
机构
[1] Baylor Univ, Dept Math, Waco, TX 76798 USA
[2] Gh Asachi Tech Univ, Dept Math, Iasi 700506, Romania
关键词
Riemann-Liouville fractional differential equation; Integral boundary conditions; Positive solutions; BLOW-UP; HEAT-EQUATIONS; EXISTENCE;
D O I
10.1016/j.amc.2014.10.028
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate the existence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with coupled integral boundary conditions. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:182 / 197
页数:16
相关论文
共 50 条
  • [1] Positive solutions for a coupled system of semipositone fractional differential equations with the integral boundary conditions
    Xie, Dapeng
    Bai, Chuanzhi
    Zhou, Hui
    Liu, Yang
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2017, 226 (16-18): : 3551 - 3566
  • [2] Positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary conditions
    Yang, Wengui
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (01) : 288 - 297
  • [3] Positive solutions for a coupled system of semipositone fractional differential equations with the integral boundary conditions
    Dapeng Xie
    Chuanzhi Bai
    Hui Zhou
    Yang Liu
    The European Physical Journal Special Topics, 2017, 226 : 3551 - 3566
  • [4] Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions
    Yang, Chen
    Zhai, Chengbo
    Zhang, Lingling
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [5] Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions
    Chen Yang
    Chengbo Zhai
    Lingling Zhang
    Advances in Difference Equations, 2017
  • [6] Solutions for a coupled system of nonlinear fractional differential equations with integral boundary conditions
    Li, Yunhong
    PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON AUTOMATION, MECHANICAL CONTROL AND COMPUTATIONAL ENGINEERING, 2015, 124 : 1618 - 1622
  • [7] Positive Solutions for a System of Fractional Differential Equations with Nonlocal Integral Boundary Conditions
    Guezane-Lakoud A.
    Ashyralyev A.
    Differential Equations and Dynamical Systems, 2017, 25 (4) : 519 - 526
  • [8] Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions
    Jiqiang Jiang
    Donal O’Regan
    Jiafa Xu
    Zhengqing Fu
    Journal of Inequalities and Applications, 2019
  • [9] Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions
    Jiang, Jiqiang
    O'Regan, Donal
    Xu, Jiafa
    Fu, Zhengqing
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [10] On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions
    Johnny Henderson
    Rodica Luca
    Alexandru Tudorache
    Fractional Calculus and Applied Analysis, 2015, 18 : 361 - 386