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

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