The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval

The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval

Abstract In this paper, we consider a class of infinite-point boundary value problems of fractional differential equations on the infinite interval [ 0 , + ∞ ) $[0,+\infty)$ with a disturbance parameter. By using the method of upper and lower solutions, fixed point index theory and some fixed point...

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Main Authors: Xiaochen Li, Xiping Liu, Mei Jia, Luchao Zhang
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Advances in Difference Equations
Subjects:
fractional differential equations
infinite-point boundary value problem
half line
positive solution
L 1 $L^{1}$ -Carathéodory conditions
Online Access:http://link.springer.com/article/10.1186/s13662-017-1185-3
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spelling doaj-f00d4ab466614c4fa936b8c2385d9d452020-11-25T02:32:52ZengSpringerOpenAdvances in Difference Equations1687-18472017-05-012017112110.1186/s13662-017-1185-3The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite intervalXiaochen Li0Xiping Liu1Mei Jia2Luchao Zhang3College of Science, University of Shanghai for Science and TechnologyCollege of Science, University of Shanghai for Science and TechnologyCollege of Science, University of Shanghai for Science and TechnologyCollege of Science, University of Shanghai for Science and TechnologyAbstract In this paper, we consider a class of infinite-point boundary value problems of fractional differential equations on the infinite interval [ 0 , + ∞ ) $[0,+\infty)$ with a disturbance parameter. By using the method of upper and lower solutions, fixed point index theory and some fixed point theorems, the existence, multiplicity and nonexistence for the positive solution of the boundary value problem are obtained, respectively. The impact of the disturbance parameters on the existence of positive solutions is also given. Finally, some examples are presented to illustrate the wide range of potential applications of our main results.http://link.springer.com/article/10.1186/s13662-017-1185-3fractional differential equationsinfinite-point boundary value problemhalf linepositive solutionL 1 $L^{1}$ -Carathéodory conditions
collection DOAJ
language English
format Article
sources DOAJ
author Xiaochen Li
Xiping Liu
Mei Jia
Luchao Zhang
spellingShingle Xiaochen Li
Xiping Liu
Mei Jia
Luchao Zhang
The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval
Advances in Difference Equations
fractional differential equations
infinite-point boundary value problem
half line
positive solution
L 1 $L^{1}$ -Carathéodory conditions
author_facet Xiaochen Li
Xiping Liu
Mei Jia
Luchao Zhang
author_sort Xiaochen Li
title The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval
title_short The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval
title_full The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval
title_fullStr The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval
title_full_unstemmed The positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval
title_sort positive solutions of infinite-point boundary value problem of fractional differential equations on the infinite interval
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2017-05-01
description Abstract In this paper, we consider a class of infinite-point boundary value problems of fractional differential equations on the infinite interval [ 0 , + ∞ ) $[0,+\infty)$ with a disturbance parameter. By using the method of upper and lower solutions, fixed point index theory and some fixed point theorems, the existence, multiplicity and nonexistence for the positive solution of the boundary value problem are obtained, respectively. The impact of the disturbance parameters on the existence of positive solutions is also given. Finally, some examples are presented to illustrate the wide range of potential applications of our main results.
topic fractional differential equations
infinite-point boundary value problem
half line
positive solution
L 1 $L^{1}$ -Carathéodory conditions
url http://link.springer.com/article/10.1186/s13662-017-1185-3
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