Approximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces
We discuss the approximate controllability of semilinear fractional neutral differential systems with infinite delay under the assumptions that the corresponding linear system is approximately controllable. Using Krasnoselkii's fixed-point theorem, fractional calculus, and methods of controllab...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/531894 |
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| _version_ | 1849397657383993344 |
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| author | N. I. Mahmudov |
| author_facet | N. I. Mahmudov |
| author_sort | N. I. Mahmudov |
| collection | DOAJ |
| description | We discuss the approximate controllability of semilinear fractional neutral differential systems with infinite delay under the assumptions that the corresponding linear system is approximately controllable. Using Krasnoselkii's fixed-point theorem, fractional calculus, and methods of controllability theory, a new set of sufficient conditions for approximate controllability of fractional neutral differential equations with infinite delay are formulated and proved. The results of the paper are generalization and continuation of the recent results on this issue. |
| format | Article |
| id | doaj-art-acc376e6a455411e8ed46d54ff1ea529 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-acc376e6a455411e8ed46d54ff1ea5292025-08-20T03:38:55ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/531894531894Approximate Controllability of Fractional Neutral Evolution Equations in Banach SpacesN. I. Mahmudov0Eastern Mediterranean University, Gazimagusa, TRNC, 10 Mersin, TurkeyWe discuss the approximate controllability of semilinear fractional neutral differential systems with infinite delay under the assumptions that the corresponding linear system is approximately controllable. Using Krasnoselkii's fixed-point theorem, fractional calculus, and methods of controllability theory, a new set of sufficient conditions for approximate controllability of fractional neutral differential equations with infinite delay are formulated and proved. The results of the paper are generalization and continuation of the recent results on this issue.http://dx.doi.org/10.1155/2013/531894 |
| spellingShingle | N. I. Mahmudov Approximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces Abstract and Applied Analysis |
| title | Approximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces |
| title_full | Approximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces |
| title_fullStr | Approximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces |
| title_full_unstemmed | Approximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces |
| title_short | Approximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces |
| title_sort | approximate controllability of fractional neutral evolution equations in banach spaces |
| url | http://dx.doi.org/10.1155/2013/531894 |
| work_keys_str_mv | AT nimahmudov approximatecontrollabilityoffractionalneutralevolutionequationsinbanachspaces |