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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University of Szeged
2012-05-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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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¶mtipus_ertek=publication¶m_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¶mtipus_ertek=publication¶m_ertek=1401 |
work_keys_str_mv |
AT jiqiangjiang multiplepositivesolutionsofsingularfractionaldifferentialsysteminvolvingstieltjesintegralconditions AT lishanliu multiplepositivesolutionsofsingularfractionaldifferentialsysteminvolvingstieltjesintegralconditions AT yonghongwu multiplepositivesolutionsofsingularfractionaldifferentialsysteminvolvingstieltjesintegralconditions |
_version_ |
1721303672265113600 |