Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions
In this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and Monch’s fixed point theorem. We also present an exam...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/5/1071 |
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| author | Thitiporn Linitda Kulandhaivel Karthikeyan Palanisamy Raja Sekar Thanin Sitthiwirattham |
| author_facet | Thitiporn Linitda Kulandhaivel Karthikeyan Palanisamy Raja Sekar Thanin Sitthiwirattham |
| author_sort | Thitiporn Linitda |
| collection | DOAJ |
| description | In this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and Monch’s fixed point theorem. We also present an example, in order to elucidate one of the results discussed. |
| first_indexed | 2024-03-11T07:18:32Z |
| format | Article |
| id | doaj.art-616966f3a59e4dd6bd1751e885cc2fcd |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T07:18:32Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-616966f3a59e4dd6bd1751e885cc2fcd2023-11-17T08:07:48ZengMDPI AGMathematics2227-73902023-02-01115107110.3390/math11051071Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal ConditionsThitiporn Linitda0Kulandhaivel Karthikeyan1Palanisamy Raja Sekar2Thanin Sitthiwirattham3Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, ThailandDepartment of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, Tamil Nadu, IndiaDepartment of Mathematics, K.S.R. College of Engineering, Tiruchengode 637215, Tamilnadu, IndiaMathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, ThailandIn this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and Monch’s fixed point theorem. We also present an example, in order to elucidate one of the results discussed.https://www.mdpi.com/2227-7390/11/5/1071boundary conditionfractional calculusimpulsive conditionintegro-differential systemcontrollabilityfixed point theorem |
| spellingShingle | Thitiporn Linitda Kulandhaivel Karthikeyan Palanisamy Raja Sekar Thanin Sitthiwirattham Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions Mathematics boundary condition fractional calculus impulsive condition integro-differential system controllability fixed point theorem |
| title | Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions |
| title_full | Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions |
| title_fullStr | Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions |
| title_full_unstemmed | Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions |
| title_short | Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions |
| title_sort | analysis on controllability results for impulsive neutral hilfer fractional differential equations with nonlocal conditions |
| topic | boundary condition fractional calculus impulsive condition integro-differential system controllability fixed point theorem |
| url | https://www.mdpi.com/2227-7390/11/5/1071 |
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