$Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives$

Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives

In this paper, by means of Leggett–Williams and Guo–Krasnosel'skii fixed point theorems, together with height functions of the nonlinearity on different bounded sets, triple positive solutions are obtained for some fractional differential equations with p–q-order derivatives involved in multi-...

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Main Authors:	Xingqiu Zhang, Zhuyan Shao, Qiuyan Zhong, Zengqin Zhao
Format:	Article
Language:	English
Published:	Vilnius University Press 2018-12-01
Series:	Nonlinear Analysis
Subjects:	fractional differential equations semipositone triple positive solution singularity on space variable multi-point BVP
Online Access:	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13149

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spelling	doaj-d1e9cd8842904a39827cda771bdeeb1c2020-11-25T02:13:38ZengVilnius University PressNonlinear Analysis1392-51132335-89632018-12-0123610.15388/NA.2018.6.5Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivativesXingqiu Zhang0Zhuyan Shao1Qiuyan Zhong2Zengqin Zhao3Jining Medical College, ChinaJining Medical College, ChinaJining Medical College, ChinaQufu Normal University, China In this paper, by means of Leggett–Williams and Guo–Krasnosel'skii fixed point theorems, together with height functions of the nonlinearity on different bounded sets, triple positive solutions are obtained for some fractional differential equations with p–q-order derivatives involved in multi-point boundary value conditions. The nonlinearity may not only take negative infinity but also may permit singularities on both the time and the space variables. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13149fractional differential equationssemipositonetriple positive solutionsingularity on space variablemulti-point BVP
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xingqiu Zhang Zhuyan Shao Qiuyan Zhong Zengqin Zhao
spellingShingle	Xingqiu Zhang Zhuyan Shao Qiuyan Zhong Zengqin Zhao Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives Nonlinear Analysis fractional differential equations semipositone triple positive solution singularity on space variable multi-point BVP
author_facet	Xingqiu Zhang Zhuyan Shao Qiuyan Zhong Zengqin Zhao
author_sort	Xingqiu Zhang
title	Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives
title_short	Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives
title_full	Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives
title_fullStr	Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives
title_full_unstemmed	Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives
title_sort	triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2018-12-01
description	In this paper, by means of Leggett–Williams and Guo–Krasnosel'skii fixed point theorems, together with height functions of the nonlinearity on different bounded sets, triple positive solutions are obtained for some fractional differential equations with p–q-order derivatives involved in multi-point boundary value conditions. The nonlinearity may not only take negative infinity but also may permit singularities on both the time and the space variables.
topic	fractional differential equations semipositone triple positive solution singularity on space variable multi-point BVP
url	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13149
work_keys_str_mv	AT xingqiuzhang triplepositivesolutionsforsemipositonefractionaldifferentialequationsmpointboundaryvalueproblemswithsingularitiesandpqorderderivatives AT zhuyanshao triplepositivesolutionsforsemipositonefractionaldifferentialequationsmpointboundaryvalueproblemswithsingularitiesandpqorderderivatives AT qiuyanzhong triplepositivesolutionsforsemipositonefractionaldifferentialequationsmpointboundaryvalueproblemswithsingularitiesandpqorderderivatives AT zengqinzhao triplepositivesolutionsforsemipositonefractionaldifferentialequationsmpointboundaryvalueproblemswithsingularitiesandpqorderderivatives
_version_	1724903859621462016

Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives

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