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: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5174529 |
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| _version_ | 1850215604206698496 |
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| author | Ying Wang Jun Yang Yumei Zi |
| author_facet | Ying Wang Jun Yang Yumei Zi |
| author_sort | Ying Wang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-7ee874b282b84e96a93bb9dbee192913 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7ee874b282b84e96a93bb9dbee1929132025-08-20T02:08:35ZengWileyJournal 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 |
| spellingShingle | Ying Wang Jun Yang Yumei Zi Results of Positive Solutions for the Fractional Differential System on an Infinite Interval Journal of Function Spaces |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2020/5174529 |
| work_keys_str_mv | AT yingwang resultsofpositivesolutionsforthefractionaldifferentialsystemonaninfiniteinterval AT junyang resultsofpositivesolutionsforthefractionaldifferentialsystemonaninfiniteinterval AT yumeizi resultsofpositivesolutionsforthefractionaldifferentialsystemonaninfiniteinterval |