Some New Results for the Sobolev-Type Fractional Order Delay Systems with Noncompact Semigroup
The topological structure of solution sets for the Sobolev-type fractional order delay systems with noncompact semigroup is studied. Based on a fixed point principle for multivalued maps, the existence result is obtained under certain mild conditions. With the help of multivalued analysis tools, the...
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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/10.1155/2020/1260813 |
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| _version_ | 1849398989038813184 |
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| author | Qiaomin Xiang Pengxian Zhu |
| author_facet | Qiaomin Xiang Pengxian Zhu |
| author_sort | Qiaomin Xiang |
| collection | DOAJ |
| description | The topological structure of solution sets for the Sobolev-type fractional order delay systems with noncompact semigroup is studied. Based on a fixed point principle for multivalued maps, the existence result is obtained under certain mild conditions. With the help of multivalued analysis tools, the compactness of the solution set is also obtained. Finally, we apply the obtained abstract results to the partial differential inclusions. |
| format | Article |
| id | doaj-art-a433307069d04740a99d04d8155ac70d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a433307069d04740a99d04d8155ac70d2025-08-20T03:38:26ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/12608131260813Some New Results for the Sobolev-Type Fractional Order Delay Systems with Noncompact SemigroupQiaomin Xiang0Pengxian Zhu1School of Mathematics and Big Data, Foshan University, Foshan 528000, Guangdong, ChinaBasic Teaching Department, Guangzhou College of Technology and Business, Guangzhou 510850, Guangdong, ChinaThe topological structure of solution sets for the Sobolev-type fractional order delay systems with noncompact semigroup is studied. Based on a fixed point principle for multivalued maps, the existence result is obtained under certain mild conditions. With the help of multivalued analysis tools, the compactness of the solution set is also obtained. Finally, we apply the obtained abstract results to the partial differential inclusions.http://dx.doi.org/10.1155/2020/1260813 |
| spellingShingle | Qiaomin Xiang Pengxian Zhu Some New Results for the Sobolev-Type Fractional Order Delay Systems with Noncompact Semigroup Journal of Function Spaces |
| title | Some New Results for the Sobolev-Type Fractional Order Delay Systems with Noncompact Semigroup |
| title_full | Some New Results for the Sobolev-Type Fractional Order Delay Systems with Noncompact Semigroup |
| title_fullStr | Some New Results for the Sobolev-Type Fractional Order Delay Systems with Noncompact Semigroup |
| title_full_unstemmed | Some New Results for the Sobolev-Type Fractional Order Delay Systems with Noncompact Semigroup |
| title_short | Some New Results for the Sobolev-Type Fractional Order Delay Systems with Noncompact Semigroup |
| title_sort | some new results for the sobolev type fractional order delay systems with noncompact semigroup |
| url | http://dx.doi.org/10.1155/2020/1260813 |
| work_keys_str_mv | AT qiaominxiang somenewresultsforthesobolevtypefractionalorderdelaysystemswithnoncompactsemigroup AT pengxianzhu somenewresultsforthesobolevtypefractionalorderdelaysystemswithnoncompactsemigroup |