A Study on Existence and Controllability of Conformable Impulsive Equations
We study the existence/uniqueness of conformable fractional type impulsive nonlinear systems as well as the controllability of linear/semilinear conformable fractional type impulsive controlled systems. Using the conformable fractional derivative approach, we introduce the conformable controllabilit...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-08-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/8/787 |
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| author | Nazim I. Mahmudov Gülbahar Akgün |
| author_facet | Nazim I. Mahmudov Gülbahar Akgün |
| author_sort | Nazim I. Mahmudov |
| collection | DOAJ |
| description | We study the existence/uniqueness of conformable fractional type impulsive nonlinear systems as well as the controllability of linear/semilinear conformable fractional type impulsive controlled systems. Using the conformable fractional derivative approach, we introduce the conformable controllability operator and the conformable controllability Gramian matrix in order to obtain the necessary and sufficient conditions for the complete controllability of linear impulsive conformable systems. We present a set of sufficient conditions for the controllability of the conformable semilinear impulsive systems. |
| first_indexed | 2024-03-11T00:07:31Z |
| format | Article |
| id | doaj.art-7b6e88b09a724023ab355cf722a8a181 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T00:07:31Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-7b6e88b09a724023ab355cf722a8a1812023-11-19T00:15:16ZengMDPI AGAxioms2075-16802023-08-0112878710.3390/axioms12080787A Study on Existence and Controllability of Conformable Impulsive EquationsNazim I. Mahmudov0Gülbahar Akgün1Department of Mathematics, Eastern Mediterranean University, North Cyprus, Famagusta 99628, TurkeyDepartment of Mathematics, Eastern Mediterranean University, North Cyprus, Famagusta 99628, TurkeyWe study the existence/uniqueness of conformable fractional type impulsive nonlinear systems as well as the controllability of linear/semilinear conformable fractional type impulsive controlled systems. Using the conformable fractional derivative approach, we introduce the conformable controllability operator and the conformable controllability Gramian matrix in order to obtain the necessary and sufficient conditions for the complete controllability of linear impulsive conformable systems. We present a set of sufficient conditions for the controllability of the conformable semilinear impulsive systems.https://www.mdpi.com/2075-1680/12/8/787existencecontrollabilityconformable derivativeimpulsive equation |
| spellingShingle | Nazim I. Mahmudov Gülbahar Akgün A Study on Existence and Controllability of Conformable Impulsive Equations Axioms existence controllability conformable derivative impulsive equation |
| title | A Study on Existence and Controllability of Conformable Impulsive Equations |
| title_full | A Study on Existence and Controllability of Conformable Impulsive Equations |
| title_fullStr | A Study on Existence and Controllability of Conformable Impulsive Equations |
| title_full_unstemmed | A Study on Existence and Controllability of Conformable Impulsive Equations |
| title_short | A Study on Existence and Controllability of Conformable Impulsive Equations |
| title_sort | study on existence and controllability of conformable impulsive equations |
| topic | existence controllability conformable derivative impulsive equation |
| url | https://www.mdpi.com/2075-1680/12/8/787 |
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