Maximal and minimal iterative positive solutions for singular infinite-point p-Laplacian fractional differential equations

Maximal and minimal iterative positive solutions for singular infinite-point p-Laplacian fractional differential equations

The existence of maximal and minimal positive solutions for singular infinite-point p-Laplacian fractional differential equation is investigated in this paper. Green's function is derived, and some properties of Green's function are obtained. Based upon these properties of Green's fu...

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Main Authors: Limin Guo, Lishan Liu
Format: Article
Language:English
Published: Vilnius University Press 2019-06-01
Series:Nonlinear Analysis
Subjects:
fractional differential equation
Green's function
infinite-point
maximal and minimal positive solutions
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13147
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spelling doaj-89200b2ab4994b9c816c7018919434822020-11-25T02:04:07ZengVilnius University PressNonlinear Analysis1392-51132335-89632019-06-0123610.15388/NA.2018.6.3Maximal and minimal iterative positive solutions for singular infinite-point p-Laplacian fractional differential equationsLimin Guo0Lishan Liu1Changzhou Institute of Technology; Qufu Normal UniversityQufu Normal University; Curtin University The existence of maximal and minimal positive solutions for singular infinite-point p-Laplacian fractional differential equation is investigated in this paper. Green's function is derived, and some properties of Green's function are obtained. Based upon these properties of Green's function, the existence of maximal and minimal positive solutions is obtained, and iterative schemes are established for approximating the maximal and minimal positive solutions. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13147fractional differential equationGreen's functioninfinite-pointmaximal and minimal positive solutions
collection DOAJ
language English
format Article
sources DOAJ
author Limin Guo
Lishan Liu
spellingShingle Limin Guo
Lishan Liu
Maximal and minimal iterative positive solutions for singular infinite-point p-Laplacian fractional differential equations
Nonlinear Analysis
fractional differential equation
Green's function
infinite-point
maximal and minimal positive solutions
author_facet Limin Guo
Lishan Liu
author_sort Limin Guo
title Maximal and minimal iterative positive solutions for singular infinite-point p-Laplacian fractional differential equations
title_short Maximal and minimal iterative positive solutions for singular infinite-point p-Laplacian fractional differential equations
title_full Maximal and minimal iterative positive solutions for singular infinite-point p-Laplacian fractional differential equations
title_fullStr Maximal and minimal iterative positive solutions for singular infinite-point p-Laplacian fractional differential equations
title_full_unstemmed Maximal and minimal iterative positive solutions for singular infinite-point p-Laplacian fractional differential equations
title_sort maximal and minimal iterative positive solutions for singular infinite-point p-laplacian fractional differential equations
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2019-06-01
description The existence of maximal and minimal positive solutions for singular infinite-point p-Laplacian fractional differential equation is investigated in this paper. Green's function is derived, and some properties of Green's function are obtained. Based upon these properties of Green's function, the existence of maximal and minimal positive solutions is obtained, and iterative schemes are established for approximating the maximal and minimal positive solutions.
topic fractional differential equation
Green's function
infinite-point
maximal and minimal positive solutions
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13147
work_keys_str_mv AT liminguo maximalandminimaliterativepositivesolutionsforsingularinfinitepointplaplacianfractionaldifferentialequations
AT lishanliu maximalandminimaliterativepositivesolutionsforsingularinfinitepointplaplacianfractionaldifferentialequations
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