Positive solutions and monotone iterative sequences for a fractional differential equation with integral boundary conditions

被引：11

作者：

Sun, Yongping ^{[1
]}

Sun, Yan ^{[2
]}

机构：

[1] Zhejiang Univ Media & Commun, Coll Electron & Informat, Hangzhou 310018, Zhejiang, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

positive solution; fractional differential equations; boundary value problems; integral boundary conditions; monotone iterative method; EXISTENCE;

D O I：

10.1186/1687-1847-2014-29

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a monotone iterative method combined with some inequalities associated with the Green's function, we investigate the existence of positive solutions for a fractional differential equation with integral boundary conditions. In addition, two examples are given to illustrate the results.

引用

页数：10

共 50 条

[41] Positive Solutions for a Kind of Singular Nonlinear Fractional Differential Equations with Integral Boundary Conditions
Zhao, Junfang
Lian, Hairong
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS, 2013, 47 : 639 - 652
[42] Denumerably Many Positive Solutions For Fractional Differential Equation With Riemann-Stieltjes Integral Boundary Conditions
Prasad, Kapula Rajendra
Khuddush, Mahammad
Veeraiah, Pogadadanda
APPLIED MATHEMATICS E-NOTES, 2021, 21 : 495 - 504
[43] Existence results and the monotone iterative technique for nonlinear fractional differential systems involving fractional integral boundary conditions
Ying He
Advances in Difference Equations, 2017
[44] Positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary conditions
Yang, Wengui
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (01) : 288 - 297
[45] Positive solutions for a class of fractional differential coupled system with integral boundary value conditions
Zhao, Daliang
Liu, Yansheng
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2922 - 2942
[46] Existence results and the monotone iterative technique for nonlinear fractional differential systems involving fractional integral boundary conditions
He, Ying
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[47] Three nonnegative solutions for fractional differential equations with integral boundary conditions
Jia, Mei
Liu, Xiping
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1405 - 1412
[48] Monotone Iterative Methods of Positive Solutions for Fractional Differential Equations Involving Derivatives
Zhang, Xiaoping
Sun, Yongping
MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
[49] Multiple monotone positive solutions for higher order differential equations with integral boundary conditions
Hao, Xinan
Liu, Lishan
BOUNDARY VALUE PROBLEMS, 2014,
[50] 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

← 1 2 3 4 5 →