Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions

In this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which guarantee the existence of positive solutions...

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Main Authors: Hao Xinan, Wang Huaqing
Format: Article
Language:English
Published: De Gruyter 2018-06-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2018-0055
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spelling doaj-1ddbe602197c4858be9e7f7517d849672021-09-06T19:20:10ZengDe GruyterOpen Mathematics2391-54552018-06-0116158159610.1515/math-2018-0055math-2018-0055Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditionsHao Xinan0Wang Huaqing1School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, ChinaDepartment of Mathematics, Jining University, Qufu, 273155, Shandong, ChinaIn this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which guarantee the existence of positive solutions are obtained. An example is given to illustrate the results.https://doi.org/10.1515/math-2018-0055positive solutionssemipositonesingular fractional differential systemsintegral boundary conditions26a3334a0834b18
collection DOAJ
language English
format Article
sources DOAJ
author Hao Xinan
Wang Huaqing
spellingShingle Hao Xinan
Wang Huaqing
Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions
Open Mathematics
positive solutions
semipositone
singular fractional differential systems
integral boundary conditions
26a33
34a08
34b18
author_facet Hao Xinan
Wang Huaqing
author_sort Hao Xinan
title Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions
title_short Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions
title_full Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions
title_fullStr Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions
title_full_unstemmed Positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions
title_sort positive solutions of semipositone singular fractional differential systems with a parameter and integral boundary conditions
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2018-06-01
description In this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which guarantee the existence of positive solutions are obtained. An example is given to illustrate the results.
topic positive solutions
semipositone
singular fractional differential systems
integral boundary conditions
26a33
34a08
34b18
url https://doi.org/10.1515/math-2018-0055
work_keys_str_mv AT haoxinan positivesolutionsofsemipositonesingularfractionaldifferentialsystemswithaparameterandintegralboundaryconditions
AT wanghuaqing positivesolutionsofsemipositonesingularfractionaldifferentialsystemswithaparameterandintegralboundaryconditions
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