On Partial Exact Controllability of Fractional Control Systems in Conformable Sense
In this work, we investigate the partial exact controllability of fractional semilinear control systems in the sense of conformable derivatives. Initially, we establish the existence and uniqueness of the mild solution for this type of fractional control systems. Then, by employing a contraction map...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/9531298 |
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| _version_ | 1849397859158327296 |
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| author | Maher Jneid |
| author_facet | Maher Jneid |
| author_sort | Maher Jneid |
| collection | DOAJ |
| description | In this work, we investigate the partial exact controllability of fractional semilinear control systems in the sense of conformable derivatives. Initially, we establish the existence and uniqueness of the mild solution for this type of fractional control systems. Then, by employing a contraction mapping principle, we obtain sufficient conditions for the conformable fractional semilinear system to be partially exactly controllable, assuming that its associated linear part is partially exactly controllable. To demonstrate the efficacy of the theoretical findings, a typical example is provided at the end. |
| format | Article |
| id | doaj-art-a7b09a45f9ae4fb6b56c69d4cc41fe9d |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-a7b09a45f9ae4fb6b56c69d4cc41fe9d2025-08-20T03:38:49ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/9531298On Partial Exact Controllability of Fractional Control Systems in Conformable SenseMaher Jneid0Department of Mathematics and Computer ScienceIn this work, we investigate the partial exact controllability of fractional semilinear control systems in the sense of conformable derivatives. Initially, we establish the existence and uniqueness of the mild solution for this type of fractional control systems. Then, by employing a contraction mapping principle, we obtain sufficient conditions for the conformable fractional semilinear system to be partially exactly controllable, assuming that its associated linear part is partially exactly controllable. To demonstrate the efficacy of the theoretical findings, a typical example is provided at the end.http://dx.doi.org/10.1155/2024/9531298 |
| spellingShingle | Maher Jneid On Partial Exact Controllability of Fractional Control Systems in Conformable Sense Journal of Mathematics |
| title | On Partial Exact Controllability of Fractional Control Systems in Conformable Sense |
| title_full | On Partial Exact Controllability of Fractional Control Systems in Conformable Sense |
| title_fullStr | On Partial Exact Controllability of Fractional Control Systems in Conformable Sense |
| title_full_unstemmed | On Partial Exact Controllability of Fractional Control Systems in Conformable Sense |
| title_short | On Partial Exact Controllability of Fractional Control Systems in Conformable Sense |
| title_sort | on partial exact controllability of fractional control systems in conformable sense |
| url | http://dx.doi.org/10.1155/2024/9531298 |
| work_keys_str_mv | AT maherjneid onpartialexactcontrollabilityoffractionalcontrolsystemsinconformablesense |