$Positive solutions for a class of fractional infinite-point boundary value problems$

Positive solutions for a class of fractional infinite-point boundary value problems

Abstract In this paper, we consider a class of fractional differential equations with infinite-point boundary value conditions. Under some conditions concerning the spectral radius with respect to the relevant linear operator, both the existence of uniqueness and the nonexistence of positive solutio...

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Main Authors:	Yongqing Wang, Lishan Liu
Format:	Article
Language:	English
Published:	SpringerOpen 2018-07-01
Series:	Boundary Value Problems
Subjects:	Fractional differential equation Positive solution Infinite-point boundary value problem Spectral radius
Online Access:	http://link.springer.com/article/10.1186/s13661-018-1035-6

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spelling	doaj-25e6dec3fa444df9bf625117c042a8092020-11-25T01:11:46ZengSpringerOpenBoundary Value Problems1687-27702018-07-012018111410.1186/s13661-018-1035-6Positive solutions for a class of fractional infinite-point boundary value problemsYongqing Wang0Lishan Liu1School of Statistics, Qufu Normal UniversitySchool of Mathematical Sciences, Qufu Normal UniversityAbstract In this paper, we consider a class of fractional differential equations with infinite-point boundary value conditions. Under some conditions concerning the spectral radius with respect to the relevant linear operator, both the existence of uniqueness and the nonexistence of positive solution are obtained by means of the iterative technique.http://link.springer.com/article/10.1186/s13661-018-1035-6Fractional differential equationPositive solutionInfinite-point boundary value problemSpectral radius
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yongqing Wang Lishan Liu
spellingShingle	Yongqing Wang Lishan Liu Positive solutions for a class of fractional infinite-point boundary value problems Boundary Value Problems Fractional differential equation Positive solution Infinite-point boundary value problem Spectral radius
author_facet	Yongqing Wang Lishan Liu
author_sort	Yongqing Wang
title	Positive solutions for a class of fractional infinite-point boundary value problems
title_short	Positive solutions for a class of fractional infinite-point boundary value problems
title_full	Positive solutions for a class of fractional infinite-point boundary value problems
title_fullStr	Positive solutions for a class of fractional infinite-point boundary value problems
title_full_unstemmed	Positive solutions for a class of fractional infinite-point boundary value problems
title_sort	positive solutions for a class of fractional infinite-point boundary value problems
publisher	SpringerOpen
series	Boundary Value Problems
issn	1687-2770
publishDate	2018-07-01
description	Abstract In this paper, we consider a class of fractional differential equations with infinite-point boundary value conditions. Under some conditions concerning the spectral radius with respect to the relevant linear operator, both the existence of uniqueness and the nonexistence of positive solution are obtained by means of the iterative technique.
topic	Fractional differential equation Positive solution Infinite-point boundary value problem Spectral radius
url	http://link.springer.com/article/10.1186/s13661-018-1035-6
work_keys_str_mv	AT yongqingwang positivesolutionsforaclassoffractionalinfinitepointboundaryvalueproblems AT lishanliu positivesolutionsforaclassoffractionalinfinitepointboundaryvalueproblems
_version_	1725169796357554176

Positive solutions for a class of fractional infinite-point boundary value problems

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