Abstract and Applied Analysis

Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay

R. Ganesh, R. Sakthivel, Yong Ren, S. M. Anthoni, and N. I. Mahmudov

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 901625, 12 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512013

Digital Object Identifier
doi:10.1155/2013/901625

Mathematical Reviews number (MathSciNet)
MR3093765

Zentralblatt MATH identifier
07095475

Citation

Ganesh, R.; Sakthivel, R.; Ren, Yong; Anthoni, S. M.; Mahmudov, N. I. Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay. Abstr. Appl. Anal. 2013 (2013), Article ID 901625, 12 pages. doi:10.1155/2013/901625. https://projecteuclid.org/euclid.aaa/1393512013


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