Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System
We introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a class of fractional evolution nonlocal integrod...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/931975 |
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| _version_ | 1832568071607287808 |
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| author | Amar Debbouche Dumitru Baleanu |
| author_facet | Amar Debbouche Dumitru Baleanu |
| author_sort | Amar Debbouche |
| collection | DOAJ |
| description | We introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a class of fractional evolution nonlocal integrodifferential control system in Banach space. As an application that illustrates the abstract results, two examples are provided. |
| format | Article |
| id | doaj-art-4afe23490d3d47378ec67a6e63601fe0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4afe23490d3d47378ec67a6e63601fe02025-02-03T00:59:51ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/931975931975Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution SystemAmar Debbouche0Dumitru Baleanu1Department of Mathematics, Faculty of Science, Guelma University, Guelma, AlgeriaDepartment of Mathematics and Computer Science, Cankaya University, Ankara, TurkeyWe introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a class of fractional evolution nonlocal integrodifferential control system in Banach space. As an application that illustrates the abstract results, two examples are provided.http://dx.doi.org/10.1155/2012/931975 |
| spellingShingle | Amar Debbouche Dumitru Baleanu Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System Journal of Applied Mathematics |
| title | Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System |
| title_full | Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System |
| title_fullStr | Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System |
| title_full_unstemmed | Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System |
| title_short | Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System |
| title_sort | exact null controllability for fractional nonlocal integrodifferential equations via implicit evolution system |
| url | http://dx.doi.org/10.1155/2012/931975 |
| work_keys_str_mv | AT amardebbouche exactnullcontrollabilityforfractionalnonlocalintegrodifferentialequationsviaimplicitevolutionsystem AT dumitrubaleanu exactnullcontrollabilityforfractionalnonlocalintegrodifferentialequationsviaimplicitevolutionsystem |