Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities

In this paper, we use the fixed-point index and nonnegative matrices to study the existence of positive solutions for a system of Hadamard-type fractional differential equations with semipositone nonlinearities.

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Main Authors: Youzheng Ding, Jiqiang Jiang, Donal O’Regan, Jiafa Xu
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/9742418
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author Youzheng Ding
Jiqiang Jiang
Donal O’Regan
Jiafa Xu
author_facet Youzheng Ding
Jiqiang Jiang
Donal O’Regan
Jiafa Xu
author_sort Youzheng Ding
collection DOAJ
description In this paper, we use the fixed-point index and nonnegative matrices to study the existence of positive solutions for a system of Hadamard-type fractional differential equations with semipositone nonlinearities.
format Article
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institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-58e33142785849f2b96cf3f9bcf2fd872025-02-03T05:53:22ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/97424189742418Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone NonlinearitiesYouzheng Ding0Jiqiang Jiang1Donal O’Regan2Jiafa Xu3Department of Mathematics, Shandong Jianzhu University, Jinan 250101, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaSchool of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, IrelandSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaIn this paper, we use the fixed-point index and nonnegative matrices to study the existence of positive solutions for a system of Hadamard-type fractional differential equations with semipositone nonlinearities.http://dx.doi.org/10.1155/2020/9742418
spellingShingle Youzheng Ding
Jiqiang Jiang
Donal O’Regan
Jiafa Xu
Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities
Complexity
title Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities
title_full Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities
title_fullStr Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities
title_full_unstemmed Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities
title_short Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities
title_sort positive solutions for a system of hadamard type fractional differential equations with semipositone nonlinearities
url http://dx.doi.org/10.1155/2020/9742418
work_keys_str_mv AT youzhengding positivesolutionsforasystemofhadamardtypefractionaldifferentialequationswithsemipositonenonlinearities
AT jiqiangjiang positivesolutionsforasystemofhadamardtypefractionaldifferentialequationswithsemipositonenonlinearities
AT donaloregan positivesolutionsforasystemofhadamardtypefractionaldifferentialequationswithsemipositonenonlinearities
AT jiafaxu positivesolutionsforasystemofhadamardtypefractionaldifferentialequationswithsemipositonenonlinearities