Controllability of nonlinear implicit fractional integrodifferential systems
In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a set and Darbo’s fixed point theorem. Examples a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2014-12-01
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| Series: | International Journal of Applied Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amcs-2014-0052 |
| _version_ | 1818738658447982592 |
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| author | Balachandran Krishnan Divya Shanmugam |
| author_facet | Balachandran Krishnan Divya Shanmugam |
| author_sort | Balachandran Krishnan |
| collection | DOAJ |
| description | In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a set and Darbo’s fixed point theorem. Examples are included to verify the result. |
| first_indexed | 2024-12-18T01:12:26Z |
| format | Article |
| id | doaj.art-5e152aabce4e4de7b96c24eb8504a9a3 |
| institution | Directory Open Access Journal |
| issn | 2083-8492 |
| language | English |
| last_indexed | 2024-12-18T01:12:26Z |
| publishDate | 2014-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | International Journal of Applied Mathematics and Computer Science |
| spelling | doaj.art-5e152aabce4e4de7b96c24eb8504a9a32022-12-21T21:26:03ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922014-12-0124471372210.2478/amcs-2014-0052amcs-2014-0052Controllability of nonlinear implicit fractional integrodifferential systemsBalachandran Krishnan0Divya Shanmugam1Department of Mathematics Bharathiar University, Coimbatore 641 046, IndiaDepartment of Mathematics Bharathiar University, Coimbatore 641 046, IndiaIn this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a set and Darbo’s fixed point theorem. Examples are included to verify the result.https://doi.org/10.2478/amcs-2014-0052controllabilityfractional derivativeintegrodifferential equationsfixed point theorem |
| spellingShingle | Balachandran Krishnan Divya Shanmugam Controllability of nonlinear implicit fractional integrodifferential systems International Journal of Applied Mathematics and Computer Science controllability fractional derivative integrodifferential equations fixed point theorem |
| title | Controllability of nonlinear implicit fractional integrodifferential systems |
| title_full | Controllability of nonlinear implicit fractional integrodifferential systems |
| title_fullStr | Controllability of nonlinear implicit fractional integrodifferential systems |
| title_full_unstemmed | Controllability of nonlinear implicit fractional integrodifferential systems |
| title_short | Controllability of nonlinear implicit fractional integrodifferential systems |
| title_sort | controllability of nonlinear implicit fractional integrodifferential systems |
| topic | controllability fractional derivative integrodifferential equations fixed point theorem |
| url | https://doi.org/10.2478/amcs-2014-0052 |
| work_keys_str_mv | AT balachandrankrishnan controllabilityofnonlinearimplicitfractionalintegrodifferentialsystems AT divyashanmugam controllabilityofnonlinearimplicitfractionalintegrodifferentialsystems |