POSITIVE SOLUTIONS OF HIGHER-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH NONLOCAL BOUNDARY CONDITIONS

被引：11
|
作者：
Xie, Shengli [1 ]
Xie, Yiming [2 ]
机构：
[1] Anhui Jianzhu Univ, Sch Math & Phys, Hefei 230601, Peoples R China
[2] Anhui Jianzhu Univ, Sch Civil Engn, Hefei 230601, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2016年 / 6卷 / 04期
关键词：
Higher-order nonlinear fractional differential equations; positive solution; cone; fixed point index; COUPLED SYSTEM; EQUATIONS;
D O I：
10.11948/201601
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with the existence and multiplicity of positive solutions for a system of higher-order nonlinear fractional differential equations with nonlocal boundary conditions. The main tool used in the proof is fixed point index theory in cone. Some limit type conditions for ensuring the existence of positive solutions are given.
引用
收藏
页码：1211 / 1227
页数：17
相关论文
共 50 条
  • [41] Existence of Solutions to a Coupled System of Higher-order Nonlinear Fractional Differential Equations with Anti-periodic Boundary Conditions
    Zhang, Huina
    Gao, Wenjie
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (02) : 262 - 270
  • [42] Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations
    Bashir Ahmad
    Ahmed Alsaedi
    Fixed Point Theory and Applications, 2010
  • [43] Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations
    Ahmad, Bashir
    Alsaedi, Ahmed
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [44] Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions
    Feng, Meiqiang
    Zhang, Xuemei
    Yang, Xiaozhong
    BOUNDARY VALUE PROBLEMS, 2011,
  • [45] New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions
    Meiqiang Feng
    Xuemei Zhang
    WeiGao Ge
    Boundary Value Problems, 2011
  • [46] POSITIVE SOLUTIONS FOR A COUPLED SYSTEM OF MIXED HIGHER-ORDER NONLINEAR SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS
    Li, Yaohong
    Wei, Zhongli
    FIXED POINT THEORY, 2014, 15 (01): : 167 - 178
  • [47] Positive solutions of higher-order nonlinear fractional differential equations with changing-sign measure
    Jianwu Wu
    Xinguang Zhang
    Lishan Liu
    Yonghong Wu
    Advances in Difference Equations, 2012
  • [48] Positive solutions of higher-order nonlinear fractional differential equations with changing-sign measure
    Wu, Jianwu
    Zhang, Xinguang
    Liu, Lishan
    Wu, Yonghong
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [49] New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions
    Feng, Meiqiang
    Zhang, Xuemei
    Ge, WeiGao
    BOUNDARY VALUE PROBLEMS, 2011,
  • [50] Positive Solutions for a Nonlinear Higher Order Differential System with Coupled Integral Boundary Conditions
    Li, Yaohong
    Zhang, Haiyan
    JOURNAL OF APPLIED MATHEMATICS, 2014,
12345