Open Access
2013 Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay
R. Ganesh, R. Sakthivel, Yong Ren, S. M. Anthoni, N. I. Mahmudov
Abstr. Appl. Anal. 2013: 1-12 (2013). DOI: 10.1155/2013/901625


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.


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R. Ganesh. R. Sakthivel. Yong Ren. S. M. Anthoni. N. I. Mahmudov. "Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay." Abstr. Appl. Anal. 2013 1 - 12, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095475
MathSciNet: MR3093765
Digital Object Identifier: 10.1155/2013/901625

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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