Exact Controllability for a Class of Fractional Semilinear System of Order 1<q<2 with Instantaneous and Noninstantaneous Impulses
This paper is mainly concerned with the existence of mild solutions and exact controllability for a class of fractional semilinear system of order q∈1,2 with instantaneous and noninstantaneous impulses. First, combining the Kuratowski measure of noncompactness and the Mönch fixed point theorem, we i...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/8300785 |
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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 exact controllability for a class of fractional semilinear system of order q∈1,2 with instantaneous and noninstantaneous impulses. First, combining the Kuratowski measure of noncompactness and the Mönch fixed point theorem, we investigated the existence result for the considered system. It is remarkable that our assumptions for impulses and the nonlinear term are weaker than the Lipschitz conditions. Next, on this basis, the exact controllability for the considered system is determined. In the end, an example is provided to support the main findings. |
| format | Article |
| id | doaj-art-336722cbcef74afa893503654231799b |
| institution | OA Journals |
| issn | 1687-0042 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-336722cbcef74afa893503654231799b2025-08-20T02:24:17ZengWileyJournal of Applied Mathematics1687-00422023-01-01202310.1155/2023/8300785Exact Controllability for a Class of Fractional Semilinear System of Order 1<q<2 with Instantaneous and Noninstantaneous ImpulsesYunhao Chu0Yansheng Liu1School of Mathematics and StatisticsSchool of Mathematics and StatisticsThis paper is mainly concerned with the existence of mild solutions and exact controllability for a class of fractional semilinear system of order q∈1,2 with instantaneous and noninstantaneous impulses. First, combining the Kuratowski measure of noncompactness and the Mönch fixed point theorem, we investigated the existence result for the considered system. It is remarkable that our assumptions for impulses and the nonlinear term are weaker than the Lipschitz conditions. Next, on this basis, the exact controllability for the considered system is determined. In the end, an example is provided to support the main findings.http://dx.doi.org/10.1155/2023/8300785 |
| spellingShingle | Yunhao Chu Yansheng Liu Exact Controllability for a Class of Fractional Semilinear System of Order 1<q<2 with Instantaneous and Noninstantaneous Impulses Journal of Applied Mathematics |
| title | Exact Controllability for a Class of Fractional Semilinear System of Order 1<q<2 with Instantaneous and Noninstantaneous Impulses |
| title_full | Exact Controllability for a Class of Fractional Semilinear System of Order 1<q<2 with Instantaneous and Noninstantaneous Impulses |
| title_fullStr | Exact Controllability for a Class of Fractional Semilinear System of Order 1<q<2 with Instantaneous and Noninstantaneous Impulses |
| title_full_unstemmed | Exact Controllability for a Class of Fractional Semilinear System of Order 1<q<2 with Instantaneous and Noninstantaneous Impulses |
| title_short | Exact Controllability for a Class of Fractional Semilinear System of Order 1<q<2 with Instantaneous and Noninstantaneous Impulses |
| title_sort | exact controllability for a class of fractional semilinear system of order 1 q 2 with instantaneous and noninstantaneous impulses |
| url | http://dx.doi.org/10.1155/2023/8300785 |
| work_keys_str_mv | AT yunhaochu exactcontrollabilityforaclassoffractionalsemilinearsystemoforder1q2withinstantaneousandnoninstantaneousimpulses AT yanshengliu exactcontrollabilityforaclassoffractionalsemilinearsystemoforder1q2withinstantaneousandnoninstantaneousimpulses |