$Multiple positive solutions for mixed fractional differential system with p-Laplacian operators$

Multiple positive solutions for mixed fractional differential system with p-Laplacian operators

Abstract This paper is focused on researching a class of mixed fractional differential system with p-Laplacian operators. Based on the properties of the corresponding Green’s function, different combinations of superlinearity or sublinearity for the nonlinearities and other appropriate conditions, t...

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Main Author:	Ying Wang
Format:	Article
Language:	English
Published:	SpringerOpen 2019-09-01
Series:	Boundary Value Problems
Subjects:	Multiple positive solutions Mixed fractional differential system p-Laplacian operators Coupled integral boundary conditions
Online Access:	http://link.springer.com/article/10.1186/s13661-019-1257-2

id	doaj-b55c325b092e48f5ba63b8bbaf9be684
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spelling	doaj-b55c325b092e48f5ba63b8bbaf9be6842020-11-25T03:06:47ZengSpringerOpenBoundary Value Problems1687-27702019-09-012019111710.1186/s13661-019-1257-2Multiple positive solutions for mixed fractional differential system with p-Laplacian operatorsYing Wang0School of Mathematics and Statistics, Linyi UniversityAbstract This paper is focused on researching a class of mixed fractional differential system with p-Laplacian operators. Based on the properties of the corresponding Green’s function, different combinations of superlinearity or sublinearity for the nonlinearities and other appropriate conditions, the existence of multiple positive solutions are derived via the Guo–Krasnosel’skii fixed point theorem. An example is then given to illustrate the usability of the main results.http://link.springer.com/article/10.1186/s13661-019-1257-2Multiple positive solutionsMixed fractional differential systemp-Laplacian operatorsCoupled integral boundary conditions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ying Wang
spellingShingle	Ying Wang Multiple positive solutions for mixed fractional differential system with p-Laplacian operators Boundary Value Problems Multiple positive solutions Mixed fractional differential system p-Laplacian operators Coupled integral boundary conditions
author_facet	Ying Wang
author_sort	Ying Wang
title	Multiple positive solutions for mixed fractional differential system with p-Laplacian operators
title_short	Multiple positive solutions for mixed fractional differential system with p-Laplacian operators
title_full	Multiple positive solutions for mixed fractional differential system with p-Laplacian operators
title_fullStr	Multiple positive solutions for mixed fractional differential system with p-Laplacian operators
title_full_unstemmed	Multiple positive solutions for mixed fractional differential system with p-Laplacian operators
title_sort	multiple positive solutions for mixed fractional differential system with p-laplacian operators
publisher	SpringerOpen
series	Boundary Value Problems
issn	1687-2770
publishDate	2019-09-01
description	Abstract This paper is focused on researching a class of mixed fractional differential system with p-Laplacian operators. Based on the properties of the corresponding Green’s function, different combinations of superlinearity or sublinearity for the nonlinearities and other appropriate conditions, the existence of multiple positive solutions are derived via the Guo–Krasnosel’skii fixed point theorem. An example is then given to illustrate the usability of the main results.
topic	Multiple positive solutions Mixed fractional differential system p-Laplacian operators Coupled integral boundary conditions
url	http://link.springer.com/article/10.1186/s13661-019-1257-2
work_keys_str_mv	AT yingwang multiplepositivesolutionsformixedfractionaldifferentialsystemwithplaplacianoperators
_version_	1724672449088323584

Multiple positive solutions for mixed fractional differential system with p-Laplacian operators

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