Results of Positive Solutions for the Fractional Differential System on an Infinite Interval

Results of Positive Solutions for the Fractional Differential System on an Infinite Interval

The chief topic of this paper is to investigate the fractional differential system on an infinite interval. By introducing an appropriate compactness criterion in a special function space and applying the Schauder fixed-point theorem and the Banach contraction mapping principle, we established the r...

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Main Authors: Ying Wang, Jun Yang, Yumei Zi
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/5174529
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spelling doaj-7ee874b282b84e96a93bb9dbee1929132020-11-25T03:02:02ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/51745295174529Results of Positive Solutions for the Fractional Differential System on an Infinite IntervalYing Wang0Jun Yang1Yumei Zi2School of Mathematics and Statistics, Linyi University, Linyi 276000, Shandong, ChinaSchool of Mathematics and Statistics, Linyi University, Linyi 276000, Shandong, ChinaSchool of Mathematics and Statistics, Linyi University, Linyi 276000, Shandong, ChinaThe chief topic of this paper is to investigate the fractional differential system on an infinite interval. By introducing an appropriate compactness criterion in a special function space and applying the Schauder fixed-point theorem and the Banach contraction mapping principle, we established the results for the existence and uniqueness of positive solutions. An example is then given to show the utilization of the main results.http://dx.doi.org/10.1155/2020/5174529
collection DOAJ
language English
format Article
sources DOAJ
author Ying Wang
Jun Yang
Yumei Zi
spellingShingle Ying Wang
Jun Yang
Yumei Zi
Results of Positive Solutions for the Fractional Differential System on an Infinite Interval
Journal of Function Spaces
author_facet Ying Wang
Jun Yang
Yumei Zi
author_sort Ying Wang
title Results of Positive Solutions for the Fractional Differential System on an Infinite Interval
title_short Results of Positive Solutions for the Fractional Differential System on an Infinite Interval
title_full Results of Positive Solutions for the Fractional Differential System on an Infinite Interval
title_fullStr Results of Positive Solutions for the Fractional Differential System on an Infinite Interval
title_full_unstemmed Results of Positive Solutions for the Fractional Differential System on an Infinite Interval
title_sort results of positive solutions for the fractional differential system on an infinite interval
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description The chief topic of this paper is to investigate the fractional differential system on an infinite interval. By introducing an appropriate compactness criterion in a special function space and applying the Schauder fixed-point theorem and the Banach contraction mapping principle, we established the results for the existence and uniqueness of positive solutions. An example is then given to show the utilization of the main results.
url http://dx.doi.org/10.1155/2020/5174529
work_keys_str_mv AT yingwang resultsofpositivesolutionsforthefractionaldifferentialsystemonaninfiniteinterval
AT junyang resultsofpositivesolutionsforthefractionaldifferentialsystemonaninfiniteinterval
AT yumeizi resultsofpositivesolutionsforthefractionaldifferentialsystemonaninfiniteinterval
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