Multiple positive solutions of singular fractional differential system involving Stieltjes integral conditions

In this paper, the existence and multiplicity of positive solutions to singular fractional differential system is investigated. Sufficient conditions which guarantee the existence of positive solutions are obtained, by using a well known fixed point theorem. An example is added to illustrate the res...

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Main Authors: Jiqiang Jiang, Lishan Liu, Yonghong Wu
Format: Article
Language:English
Published: University of Szeged 2012-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1401
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spelling doaj-20ee292400114ddf82ee8598bcb8f2bc2021-07-14T07:21:24ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752012-05-0120124311810.14232/ejqtde.2012.1.431401Multiple positive solutions of singular fractional differential system involving Stieltjes integral conditionsJiqiang Jiang0Lishan Liu1Yonghong Wu2School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, P. R. of ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, PR ChinaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaIn this paper, the existence and multiplicity of positive solutions to singular fractional differential system is investigated. Sufficient conditions which guarantee the existence of positive solutions are obtained, by using a well known fixed point theorem. An example is added to illustrate the results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1401singular fractional differential systemboundary condition including stieltjes integralspositive solutionsfixed point theorem
collection DOAJ
language English
format Article
sources DOAJ
author Jiqiang Jiang
Lishan Liu
Yonghong Wu
spellingShingle Jiqiang Jiang
Lishan Liu
Yonghong Wu
Multiple positive solutions of singular fractional differential system involving Stieltjes integral conditions
Electronic Journal of Qualitative Theory of Differential Equations
singular fractional differential system
boundary condition including stieltjes integrals
positive solutions
fixed point theorem
author_facet Jiqiang Jiang
Lishan Liu
Yonghong Wu
author_sort Jiqiang Jiang
title Multiple positive solutions of singular fractional differential system involving Stieltjes integral conditions
title_short Multiple positive solutions of singular fractional differential system involving Stieltjes integral conditions
title_full Multiple positive solutions of singular fractional differential system involving Stieltjes integral conditions
title_fullStr Multiple positive solutions of singular fractional differential system involving Stieltjes integral conditions
title_full_unstemmed Multiple positive solutions of singular fractional differential system involving Stieltjes integral conditions
title_sort multiple positive solutions of singular fractional differential system involving stieltjes integral conditions
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2012-05-01
description In this paper, the existence and multiplicity of positive solutions to singular fractional differential system is investigated. Sufficient conditions which guarantee the existence of positive solutions are obtained, by using a well known fixed point theorem. An example is added to illustrate the results.
topic singular fractional differential system
boundary condition including stieltjes integrals
positive solutions
fixed point theorem
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1401
work_keys_str_mv AT jiqiangjiang multiplepositivesolutionsofsingularfractionaldifferentialsysteminvolvingstieltjesintegralconditions
AT lishanliu multiplepositivesolutionsofsingularfractionaldifferentialsysteminvolvingstieltjesintegralconditions
AT yonghongwu multiplepositivesolutionsofsingularfractionaldifferentialsysteminvolvingstieltjesintegralconditions
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