Approximate controllability for a class of fractional semilinear system with instantaneous and non-instantaneous impulses
This paper is mainly concerned with the existence of mild solutions and approximate controllability for a class of fractional semilinear systems with instantaneous and non-instantaneous impulses. By applying the Kuratowski measure of noncompactness and $ \rho $-set contractive fixed-point theorem, t...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-08-01
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| Series: | Mathematical Modelling and Control |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2024022 |
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| _version_ | 1832590316031442944 |
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| author | Yunhao Chu Yansheng Liu |
| author_facet | Yunhao Chu Yansheng Liu |
| author_sort | Yunhao Chu |
| collection | DOAJ |
| description | This paper is mainly concerned with the existence of mild solutions and approximate controllability for a class of fractional semilinear systems with instantaneous and non-instantaneous impulses. By applying the Kuratowski measure of noncompactness and $ \rho $-set contractive fixed-point theorem, the results for the considered system were obtained. In the end, an example was studied to support the main results. |
| format | Article |
| id | doaj-art-324de1161b8944b8b641af553602ad9e |
| institution | Kabale University |
| issn | 2767-8946 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj-art-324de1161b8944b8b641af553602ad9e2025-01-24T01:02:08ZengAIMS PressMathematical Modelling and Control2767-89462024-08-014327328510.3934/mmc.2024022Approximate controllability for a class of fractional semilinear system with instantaneous and non-instantaneous impulsesYunhao Chu0Yansheng Liu1School of Mathematics and Statistics, Shandong Normal University, Ji'nan 250014, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Ji'nan 250014, ChinaThis paper is mainly concerned with the existence of mild solutions and approximate controllability for a class of fractional semilinear systems with instantaneous and non-instantaneous impulses. By applying the Kuratowski measure of noncompactness and $ \rho $-set contractive fixed-point theorem, the results for the considered system were obtained. In the end, an example was studied to support the main results.https://www.aimspress.com/article/doi/10.3934/mmc.2024022approximate controllabilityfractional semilinear systeminstantaneous and non-instantaneous impulseskuratowski measure of noncompactness |
| spellingShingle | Yunhao Chu Yansheng Liu Approximate controllability for a class of fractional semilinear system with instantaneous and non-instantaneous impulses Mathematical Modelling and Control approximate controllability fractional semilinear system instantaneous and non-instantaneous impulses kuratowski measure of noncompactness |
| title | Approximate controllability for a class of fractional semilinear system with instantaneous and non-instantaneous impulses |
| title_full | Approximate controllability for a class of fractional semilinear system with instantaneous and non-instantaneous impulses |
| title_fullStr | Approximate controllability for a class of fractional semilinear system with instantaneous and non-instantaneous impulses |
| title_full_unstemmed | Approximate controllability for a class of fractional semilinear system with instantaneous and non-instantaneous impulses |
| title_short | Approximate controllability for a class of fractional semilinear system with instantaneous and non-instantaneous impulses |
| title_sort | approximate controllability for a class of fractional semilinear system with instantaneous and non instantaneous impulses |
| topic | approximate controllability fractional semilinear system instantaneous and non-instantaneous impulses kuratowski measure of noncompactness |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2024022 |
| work_keys_str_mv | AT yunhaochu approximatecontrollabilityforaclassoffractionalsemilinearsystemwithinstantaneousandnoninstantaneousimpulses AT yanshengliu approximatecontrollabilityforaclassoffractionalsemilinearsystemwithinstantaneousandnoninstantaneousimpulses |