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] 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
[42] Existence results and the monotone iterative technique for nonlinear fractional differential systems involving fractional integral boundary conditions
Ying He
Advances in Difference Equations, 2017
[43] Monotone iterative solutions for nonlinear boundary value problems of fractional differential equation with deviating arguments
Hu, Chaozhu
Liu, Bin
Xie, Songfa
APPLIED MATHEMATICS AND COMPUTATION, 2013, 222 : 72 - 81
[44] EXISTENCE OF SOLUTIONS OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH FRACTIONAL DERIVATIVE AND FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
Nain, Ankit Kumar
Vats, Ramesh Kumar
Verma, Sachin Kumar
Sihag, Vizendar
ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2018, 18 (01): : 75 - 84
[45] The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions
Feng, Meiqiang
Liu, Xiaofang
Feng, Hanying
ADVANCES IN DIFFERENCE EQUATIONS, 2011,
[46] Multiple monotone positive solutions of integral BVPs for a higher-order fractional differential equation with monotone homomorphism
Zhao, Kaihong
Liu, Juqing
ADVANCES IN DIFFERENCE EQUATIONS, 2016, : 1 - 17
[47] Multiple monotone positive solutions of integral BVPs for a higher-order fractional differential equation with monotone homomorphism
Kaihong Zhao
Juqing Liu
Advances in Difference Equations, 2016
[48] The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions
Meiqiang Feng
Xiaofang Liu
Hanying Feng
Advances in Difference Equations, 2011
[49] Multiple monotone positive solutions for higher order differential equations with integral boundary conditions
Hao, Xinan
Liu, Lishan
BOUNDARY VALUE PROBLEMS, 2014,
[50] Multiple monotone positive solutions for higher order differential equations with integral boundary conditions
Xinan Hao
Lishan Liu
Boundary Value Problems, 2014

← 1 2 3 4 5 →