Existence of positive solutions for fractional differential equation with integral boundary conditions on the half-line

被引：9

作者：

Jia, Mei ^{[1
]}

Zhang, Haibin ^{[1
]}

Chen, Qiang ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

中国国家自然科学基金;

关键词：

Caputo derivative; integral boundary conditions; half-line; positive solutions; fixed point theorems; INFINITE INTERVAL; P-LAPLACIAN;

D O I：

10.1186/s13661-016-0614-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the existence of positive solutions for fractional-order nonlinear differential equation with integral boundary conditions on the half-infinite interval. By using the fixed point theorem in a cone, sufficient conditions for the existence of at least one or at least two positive solutions of a boundary value problem are established. These theorems also reveal the properties of solutions on the half-line.

引用

页数：16

共 50 条

[1] Existence of positive solutions for fractional differential equation with integral boundary conditions on the half-line
Mei Jia
Haibin Zhang
Qiang Chen
Boundary Value Problems, 2016
[2] Multiple positive solutions of fractional differential equations with improper integral boundary conditions on the half-line
Ning Wang
Zongfu Zhou
Boundary Value Problems, 2023
[3] Multiple positive solutions of fractional differential equations with improper integral boundary conditions on the half-line
Wang, Ning
Zhou, Zongfu
BOUNDARY VALUE PROBLEMS, 2023, 2023 (01)
[4] EXISTENCE RESULTS FOR A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS ON THE HALF-LINE
Benmezai, Abdelhamid
Saadi, Abdelkader
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2015, 7 (03): : 333 - 346
[5] Existence and iteration of positive solutions for high-order fractional differential equations with integral conditions on a half-line
Zhang X.
Journal of Applied Mathematics and Computing, 2014, 45 (1-2) : 137 - 150
[6] Existence and uniqueness of positive solutions for a fractional differential equation with integral boundary conditions
Qiao, Yan
Zhou, Zongfu
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[7] Existence and uniqueness of positive solutions for a fractional differential equation with integral boundary conditions
Yan Qiao
Zongfu Zhou
Advances in Difference Equations, 2016
[8] Existence of solutions for a fractional differential equations with integral boundary value problem at resonance on the half-line
Li, Yongkun
Wang, Yanning
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2016, 6 (03) : 254 - 273
[9] Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half-line
Yuji Liu
Bashir Ahmad
Ravi P Agarwal
Advances in Difference Equations, 2013
[10] Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half-line
Liu, Yuji
Ahmad, Bashir
Agarwal, Ravi P.
ADVANCES IN DIFFERENCE EQUATIONS, 2013,

← 1 2 3 4 5 →