New unique existence criteria for higher-order nonlinear singular fractional differential equations

被引：6

作者：

Wang, Hui ^{[1
]}

Zhang, Lingling ^{[1
]}

Wang, Xiaoqiang ^{[2
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Shanxi, Peoples R China

[2] Florida State Univ, Dept Sci Comp, Tallahassee, FL 32306 USA

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2019年 / 24卷 / 01期

关键词：

singular fractional differential equations; three-point boundary value problem; existence and uniqueness; fixed point theorem; sum-type operator; MIXED MONOTONE-OPERATORS; FIXED-POINT THEOREMS; POSITIVE SOLUTIONS; SYSTEM;

D O I：

10.15388/NA.2019.1.6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a nonlinear three-point boundary value problem of higher-order singular fractional differential equations is discussed. By applying the properties of Green function and some fixed point theorems for sum-type operator on cone, some new criteria on the existence and uniqueness of solutions are obtained. Moreover, two iterative sequences are given for uniformly approximating the positive solution, which are important for practical application. At last, we give two examples to illustrate the main results.

引用

页码：95 / 120

页数：26

共 50 条

[1] Existence and uniqueness of solutions for a singular system of higher-order nonlinear fractional differential equations with integral boundary conditions
Wang, Lin
Zhang, Xingqiu
Lu, Xinyi
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2013, 18 (04): : 493 - 518
[2] Existence of positive solutions for singular higher-order differential equations
Liu, Lishan
Zhang, Xinguang
Wu, Yonghong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (12) : 3948 - 3961
[3] 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,
[4] EXISTENCE OF SOLUTIONS TO NONLINEAR p-LAPLACIAN FRACTIONAL DIFFERENTIAL EQUATIONS WITH HIGHER-ORDER DERIVATIVE TERMS
Su, You-Hui
Yun, Yongzhen
Wang, Dongdong
Hu, Weimin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[5] Nontrivial Solutions of Higher-Order Nonlinear Singular Fractional Differential Equations with Fractional Multi-point Boundary Conditions
Xie, Shengli
Xie, Yiming
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2017, 18 (01) : 83 - 92
[6] Existence and uniqueness of solutions for a higher-order coupled fractional differential equations at resonance
Hu, Lei
Zhang, Shuqin
ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 14
[7] 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
[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] The existence of solutions to higher-order differential equations with nonhomogeneous conditions
Madhubabu, Boddeti
Sreedhar, Namburi
Prasad, Kapula Rajendra
LITHUANIAN MATHEMATICAL JOURNAL, 2024, 64 (01) : 80 - 100
[10] The existence and uniqueness of positive solution for nonlinear singular fractional differential equations with integro-differential boundary value conditions
Wang, Wen
Zhang, Lingling
2021 PROCEEDINGS OF THE 40TH CHINESE CONTROL CONFERENCE (CCC), 2021, : 93 - 98

← 1 2 3 4 5 →