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Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay
Joint Authors
Mahmudov, N. I.
Ren, Yong
Ganesh, R.
Sakthivel, R.
Anthoni, S. M.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ganesh, R.& Sakthivel, R.& Ren, Yong& Anthoni, S. M.& Mahmudov, N. I.. 2013. Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-506563
Modern Language Association (MLA)
Ganesh, R.…[et al.]. Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-506563
American Medical Association (AMA)
Ganesh, R.& Sakthivel, R.& Ren, Yong& Anthoni, S. M.& Mahmudov, N. I.. Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-506563
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506563