Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

被引：0

作者：

Lingling Zhang

Huimin Tian

机构：

[1] Taiyuan University of Technology,College of Mathematics

[2] Taiyuan University of Technology,College of Mechanics

来源：

Advances in Difference Equations | / 2017卷

关键词：

fractional differential equations; fixed point theorem; mixed monotone operator; positive solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the article, the existence and uniqueness of positive solutions for a class of fractional differential equation with nonlinear boundary conditions are discussed. By applying some fixed point theorems on cone, we gain a unique positive solution and construct two iterative sequences to approximate the solution. Moreover, as applications of our main results, some examples are also presented.

引用

共 50 条

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Zhang, Lingling
Tian, Huimin
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[J]. 2019 19TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS 2019), 2019, : 1256 - 1259
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Xiaofei WuXidong SunShandong Institute of Business and TechnologyYantai Shandong
[J]. Annals of Differential Equations, 2011, 27 (01) - 61
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[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
[10] EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO A SYSTEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH DELAY
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[J]. Annals of Applied Mathematics, 2014, 30 (03) : 340 - 351

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