Study on the controllability of Hilfer fractional differential system with and without impulsive conditions via infinite delay
In this manuscript, we investigate the controllability of two different kinds of Hilfer fractional differential equations with an almost sectorial operator and infinite delay. First, we demonstrate the exact controllability of the Hilfer fractional system using the measure of noncompactness. Next,...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2023-12-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/33840 |
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| Summary: | In this manuscript, we investigate the controllability of two different kinds of Hilfer fractional differential equations with an almost sectorial operator and infinite delay. First, we demonstrate the exact controllability of the Hilfer fractional system using the measure of noncompactness. Next, we develop the results for the controllability of the system under impulsive conditions. Finally, to show how the key findings may be utilised, applications are presented.
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| ISSN: | 1392-5113 2335-8963 |