Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems

Using the fixed point index, we establish two existence theorems for positive solutions to a system of semipositone fractional difference boundary value problems. We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling behavior of our nonlinear terms.

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Main Authors: Cheng Chen, Jiafa Xu, Donal O’Regan, Zhengqing Fu
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/6835028
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author Cheng Chen
Jiafa Xu
Donal O’Regan
Zhengqing Fu
author_facet Cheng Chen
Jiafa Xu
Donal O’Regan
Zhengqing Fu
author_sort Cheng Chen
collection DOAJ
description Using the fixed point index, we establish two existence theorems for positive solutions to a system of semipositone fractional difference boundary value problems. We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling behavior of our nonlinear terms.
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-d392a3f6c7524947a3aded659876810a2025-02-03T06:01:24ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/68350286835028Positive Solutions for a System of Semipositone Fractional Difference Boundary Value ProblemsCheng Chen0Jiafa Xu1Donal O’Regan2Zhengqing Fu3School of Mathematical Sciences, Chongqing Normal University, Chongqing 40133, ChinaSchool of Mathematical Sciences, Chongqing Normal University, Chongqing 40133, ChinaSchool of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, IrelandCollege of Mathematics and System Sciences, Shandong University of Science and Technology, Qingdao 266590, ChinaUsing the fixed point index, we establish two existence theorems for positive solutions to a system of semipositone fractional difference boundary value problems. We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling behavior of our nonlinear terms.http://dx.doi.org/10.1155/2018/6835028
spellingShingle Cheng Chen
Jiafa Xu
Donal O’Regan
Zhengqing Fu
Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems
Journal of Function Spaces
title Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems
title_full Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems
title_fullStr Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems
title_full_unstemmed Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems
title_short Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems
title_sort positive solutions for a system of semipositone fractional difference boundary value problems
url http://dx.doi.org/10.1155/2018/6835028
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AT jiafaxu positivesolutionsforasystemofsemipositonefractionaldifferenceboundaryvalueproblems
AT donaloregan positivesolutionsforasystemofsemipositonefractionaldifferenceboundaryvalueproblems
AT zhengqingfu positivesolutionsforasystemofsemipositonefractionaldifferenceboundaryvalueproblems