$Positive solutions to n-dimensional α1+α2 $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-Laplace operator$

Positive solutions to n-dimensional α1+α2 $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-Laplace operator

Abstract In this paper, we study an n-dimensional fractional differential system with p-Laplace operator, which involves multi-strip integral boundary conditions. By using the Leggett–Williams fixed point theorem, the existence results of at least three positive solutions are established. Besides, w...

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Main Authors:	Tian Wang, Guo Chen, Huihui Pang
Format:	Article
Language:	English
Published:	SpringerOpen 2019-11-01
Series:	Advances in Difference Equations
Subjects:	Positive solutions Fractional differential equation n-dimensional p-Laplace operator Multi-strip boundary conditions The fixed point theorem
Online Access:	http://link.springer.com/article/10.1186/s13662-019-2415-7

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spelling	doaj-23d4dd3d696f4bcb8a9b2fdd71c2cbfd2020-11-25T04:01:35ZengSpringerOpenAdvances in Difference Equations1687-18472019-11-012019112110.1186/s13662-019-2415-7Positive solutions to n-dimensional α1+α2 $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-Laplace operatorTian Wang0Guo Chen1Huihui Pang2College of Science, China Agricultural UniversityInternational College Beijing, China Agricultural UniversityCollege of Science, China Agricultural UniversityAbstract In this paper, we study an n-dimensional fractional differential system with p-Laplace operator, which involves multi-strip integral boundary conditions. By using the Leggett–Williams fixed point theorem, the existence results of at least three positive solutions are established. Besides, we also get the nonexistence results of positive solutions. Finally, two examples are presented to validate the main results.http://link.springer.com/article/10.1186/s13662-019-2415-7Positive solutionsFractional differential equationn-dimensionalp-Laplace operatorMulti-strip boundary conditionsThe fixed point theorem
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Tian Wang Guo Chen Huihui Pang
spellingShingle	Tian Wang Guo Chen Huihui Pang Positive solutions to n-dimensional α1+α2 $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-Laplace operator Advances in Difference Equations Positive solutions Fractional differential equation n-dimensional p-Laplace operator Multi-strip boundary conditions The fixed point theorem
author_facet	Tian Wang Guo Chen Huihui Pang
author_sort	Tian Wang
title	Positive solutions to n-dimensional α1+α2 $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-Laplace operator
title_short	Positive solutions to n-dimensional α1+α2 $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-Laplace operator
title_full	Positive solutions to n-dimensional α1+α2 $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-Laplace operator
title_fullStr	Positive solutions to n-dimensional α1+α2 $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-Laplace operator
title_full_unstemmed	Positive solutions to n-dimensional α1+α2 $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-Laplace operator
title_sort	positive solutions to n-dimensional α1+α2 $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-laplace operator
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2019-11-01
description	Abstract In this paper, we study an n-dimensional fractional differential system with p-Laplace operator, which involves multi-strip integral boundary conditions. By using the Leggett–Williams fixed point theorem, the existence results of at least three positive solutions are established. Besides, we also get the nonexistence results of positive solutions. Finally, two examples are presented to validate the main results.
topic	Positive solutions Fractional differential equation n-dimensional p-Laplace operator Multi-strip boundary conditions The fixed point theorem
url	http://link.springer.com/article/10.1186/s13662-019-2415-7
work_keys_str_mv	AT tianwang positivesolutionstondimensionala1a2alpha1alpha2orderfractionaldifferentialsystemwithplaplaceoperator AT guochen positivesolutionstondimensionala1a2alpha1alpha2orderfractionaldifferentialsystemwithplaplaceoperator AT huihuipang positivesolutionstondimensionala1a2alpha1alpha2orderfractionaldifferentialsystemwithplaplaceoperator
_version_	1724446289542774784

Positive solutions to n-dimensional α1+α2 $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-Laplace operator

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