Existence and nonexistence of positive solutions for a Caputo fractional difference equation depending on parameters

Existence and nonexistence of positive solutions for a Caputo fractional difference equation depending on parameters

In this paper, we investigate the existence and nonexistence of positive solutions for a class of Caputo fractional difference equation boundary value problem. We obtain the conditions of existence and nonexistence of positive solutions for this problem depending on the range of parameters by using...

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Main Authors: Chen Huiqin, Kang Shugui, Cui Yaqiong, Li Luping
Format: Article
Language:English
Published: Academic Journals Center of Shanghai Normal University 2018-06-01
Series:Journal of Shanghai Normal University (Natural Sciences)
Subjects:
Caputo fractional difference;Green's function;positive solution;fixed point theorem
Online Access:http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20180311
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spelling doaj-abbf0e06e2164800ab3a4d09f257e1df2020-11-25T01:01:55ZengAcademic Journals Center of Shanghai Normal UniversityJournal of Shanghai Normal University (Natural Sciences)1000-51371000-51372018-06-0147335636310.3969/J.ISSN.100-5137.2018.03.011201803000011Existence and nonexistence of positive solutions for a Caputo fractional difference equation depending on parametersChen Huiqin0Kang Shugui1Cui Yaqiong2Li Luping3School of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, ChinaSchool of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, ChinaSchool of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, ChinaSchool of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, ChinaIn this paper, we investigate the existence and nonexistence of positive solutions for a class of Caputo fractional difference equation boundary value problem. We obtain the conditions of existence and nonexistence of positive solutions for this problem depending on the range of parameters by using the properties of Green's function and Guo-Krasnosel'skii fixed point theorem on cones.http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20180311Caputo fractional difference;Green's function;positive solution;fixed point theorem
collection DOAJ
language English
format Article
sources DOAJ
author Chen Huiqin
Kang Shugui
Cui Yaqiong
Li Luping
spellingShingle Chen Huiqin
Kang Shugui
Cui Yaqiong
Li Luping
Existence and nonexistence of positive solutions for a Caputo fractional difference equation depending on parameters
Journal of Shanghai Normal University (Natural Sciences)
Caputo fractional difference;Green's function;positive solution;fixed point theorem
author_facet Chen Huiqin
Kang Shugui
Cui Yaqiong
Li Luping
author_sort Chen Huiqin
title Existence and nonexistence of positive solutions for a Caputo fractional difference equation depending on parameters
title_short Existence and nonexistence of positive solutions for a Caputo fractional difference equation depending on parameters
title_full Existence and nonexistence of positive solutions for a Caputo fractional difference equation depending on parameters
title_fullStr Existence and nonexistence of positive solutions for a Caputo fractional difference equation depending on parameters
title_full_unstemmed Existence and nonexistence of positive solutions for a Caputo fractional difference equation depending on parameters
title_sort existence and nonexistence of positive solutions for a caputo fractional difference equation depending on parameters
publisher Academic Journals Center of Shanghai Normal University
series Journal of Shanghai Normal University (Natural Sciences)
issn 1000-5137
1000-5137
publishDate 2018-06-01
description In this paper, we investigate the existence and nonexistence of positive solutions for a class of Caputo fractional difference equation boundary value problem. We obtain the conditions of existence and nonexistence of positive solutions for this problem depending on the range of parameters by using the properties of Green's function and Guo-Krasnosel'skii fixed point theorem on cones.
topic Caputo fractional difference;Green's function;positive solution;fixed point theorem
url http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20180311
work_keys_str_mv AT chenhuiqin existenceandnonexistenceofpositivesolutionsforacaputofractionaldifferenceequationdependingonparameters
AT kangshugui existenceandnonexistenceofpositivesolutionsforacaputofractionaldifferenceequationdependingonparameters
AT cuiyaqiong existenceandnonexistenceofpositivesolutionsforacaputofractionaldifferenceequationdependingonparameters
AT liluping existenceandnonexistenceofpositivesolutionsforacaputofractionaldifferenceequationdependingonparameters
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