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

页码：1211 / 1227

页数：17

共 50 条

[1] Positive solutions for a system of higher-order singular nonlinear fractional differential equations with nonlocal boundary conditions
Xie, Shengli
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (18) : 1 - 17
[2] Positive Solutions to Nonlinear Higher-Order Nonlocal Boundary Value Problems for Fractional Differential Equations
Rehman, Mujeeb Ur
Khan, Rahmat Ali
ABSTRACT AND APPLIED ANALYSIS, 2010,
[3] Positive solutions for singular higher-order fractional differential equations with nonlocal conditions
Zhang X.
Journal of Applied Mathematics and Computing, 2015, 49 (1-2) : 69 - 89
[4] Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions
Jiang, Jiqiang
Liu, Weiwei
Wang, Hongchuan
JOURNAL OF FUNCTION SPACES, 2018, 2018
[5] EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO HIGHER-ORDER NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH INTEGRAL BOUNDARY CONDITIONS
Zhou, Chenxing
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[6] Existence of solutions for a class of nonlinear higher-order fractional differential equation with fractional nonlocal boundary condition
Yabing Gao
Pengyu Chen
Advances in Difference Equations, 2016
[7] Existence of solutions for a class of nonlinear higher-order fractional differential equation with fractional nonlocal boundary condition
Gao, Yabing
Chen, Pengyu
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[8] Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations
Ahmad, Bashir
Nieto, Juan J.
ABSTRACT AND APPLIED ANALYSIS, 2009,
[9] Positive solutions for higher-order nonlinear fractional differential equation with integral boundary condition
Yang, Aijun
Wang, Helin
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (01) : 1 - 15
[10] Positive Solutions for Higher-Order Nonlinear Fractional Differential Equations
Souahi A.
Guezane-Lakoud A.
Hitta A.
Vietnam Journal of Mathematics, 2017, 45 (3) : 441 - 450

← 1 2 3 4 5 →