Positive solutions of higher order fractional integral boundary value problem with a parameter

Positive solutions of higher order fractional integral boundary value problem with a parameter

In this paper, we study a higher-order fractional differential equation with integral boundary conditions and a parameter. Under different conditions of nonlinearity, existence and nonexistence results for positive solutions are derived in terms of different intervals of parameter. Our approach rel...

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Bibliographic Details
Main Authors: Xinan Hao, Luyao Zhang, Lishan Liu
Format: Article
Language:English
Published: Vilnius University Press 2019-02-01
Series:Nonlinear Analysis
Subjects:
positive solution
fractional differential equation
integral boundary condition
fixed point theorem
cone
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12898
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spelling doaj-aadd08a50dc44dbd9d379f0001f3fbb92020-11-25T00:41:14ZengVilnius University PressNonlinear Analysis1392-51132335-89632019-02-0124210.15388/NA.2019.2.4Positive solutions of higher order fractional integral boundary value problem with a parameterXinan Hao0Luyao Zhang1Lishan Liu2Qufu Normal UniversityQufu Normal UniversityCurtin University In this paper, we study a higher-order fractional differential equation with integral boundary conditions and a parameter. Under different conditions of nonlinearity, existence and nonexistence results for positive solutions are derived in terms of different intervals of parameter. Our approach relies on the Guo–Krasnoselskii fixed point theorem on cones. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12898positive solutionfractional differential equationintegral boundary conditionfixed point theoremcone
collection DOAJ
language English
format Article
sources DOAJ
author Xinan Hao
Luyao Zhang
Lishan Liu
spellingShingle Xinan Hao
Luyao Zhang
Lishan Liu
Positive solutions of higher order fractional integral boundary value problem with a parameter
Nonlinear Analysis
positive solution
fractional differential equation
integral boundary condition
fixed point theorem
cone
author_facet Xinan Hao
Luyao Zhang
Lishan Liu
author_sort Xinan Hao
title Positive solutions of higher order fractional integral boundary value problem with a parameter
title_short Positive solutions of higher order fractional integral boundary value problem with a parameter
title_full Positive solutions of higher order fractional integral boundary value problem with a parameter
title_fullStr Positive solutions of higher order fractional integral boundary value problem with a parameter
title_full_unstemmed Positive solutions of higher order fractional integral boundary value problem with a parameter
title_sort positive solutions of higher order fractional integral boundary value problem with a parameter
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2019-02-01
description In this paper, we study a higher-order fractional differential equation with integral boundary conditions and a parameter. Under different conditions of nonlinearity, existence and nonexistence results for positive solutions are derived in terms of different intervals of parameter. Our approach relies on the Guo–Krasnoselskii fixed point theorem on cones.
topic positive solution
fractional differential equation
integral boundary condition
fixed point theorem
cone
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/12898
work_keys_str_mv AT xinanhao positivesolutionsofhigherorderfractionalintegralboundaryvalueproblemwithaparameter
AT luyaozhang positivesolutionsofhigherorderfractionalintegralboundaryvalueproblemwithaparameter
AT lishanliu positivesolutionsofhigherorderfractionalintegralboundaryvalueproblemwithaparameter
_version_ 1725286452764344320

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