Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay
We examine the controllability problem for a class of neutral fractional integrodifferential equations with impulses and infinite delay. More precisely, a set of sufficient conditions are derived for the exact controllability of nonlinear neutral impulsive fractional functional equation with infinit...
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| Main Authors: | , , , , |
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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/10.1155/2013/901625 |
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| author | R. Ganesh R. Sakthivel Yong Ren S. M. Anthoni N. I. Mahmudov |
| author_facet | R. Ganesh R. Sakthivel Yong Ren S. M. Anthoni N. I. Mahmudov |
| author_sort | R. Ganesh |
| collection | DOAJ |
| description | We examine the controllability problem for a class of neutral fractional integrodifferential equations with impulses and infinite delay. More precisely, a set of sufficient conditions are derived for the exact controllability of nonlinear neutral impulsive fractional functional equation with infinite delay. Further, as a corollary, approximate controllability result is discussed by assuming compactness conditions on solution operator. The results are established by using solution operator, fractional calculations, and fixed point techniques. In particular, the controllability of nonlinear fractional control systems is established under the assumption that the corresponding linear control system is controllable. Finally, an example is given to illustrate the obtained theory. |
| format | Article |
| id | doaj-art-33177ec4e8b84bbaa5aa40452e69ba28 |
| 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-33177ec4e8b84bbaa5aa40452e69ba282025-02-03T00:59:45ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/901625901625Controllability of Neutral Fractional Functional Equations with Impulses and Infinite DelayR. Ganesh0R. Sakthivel1Yong Ren2S. M. Anthoni3N. I. Mahmudov4Department of Mathematics, Anna University, Regional Centre, Coimbatore 641 047, IndiaDepartment of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of KoreaDepartment of Mathematics, Anhui Normal University, Wuhu 241000, ChinaDepartment of Mathematics, Anna University, Regional Centre, Coimbatore 641 047, IndiaDepartment of Mathematics, Eastern Mediterranean University, Gazimagusa, Mersin 10, TurkeyWe examine the controllability problem for a class of neutral fractional integrodifferential equations with impulses and infinite delay. More precisely, a set of sufficient conditions are derived for the exact controllability of nonlinear neutral impulsive fractional functional equation with infinite delay. Further, as a corollary, approximate controllability result is discussed by assuming compactness conditions on solution operator. The results are established by using solution operator, fractional calculations, and fixed point techniques. In particular, the controllability of nonlinear fractional control systems is established under the assumption that the corresponding linear control system is controllable. Finally, an example is given to illustrate the obtained theory.http://dx.doi.org/10.1155/2013/901625 |
| spellingShingle | R. Ganesh R. Sakthivel Yong Ren S. M. Anthoni N. I. Mahmudov Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay Abstract and Applied Analysis |
| title | Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay |
| title_full | Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay |
| title_fullStr | Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay |
| title_full_unstemmed | Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay |
| title_short | Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay |
| title_sort | controllability of neutral fractional functional equations with impulses and infinite delay |
| url | http://dx.doi.org/10.1155/2013/901625 |
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