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Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay

Author

Listed:
  • R. Ganesh
  • R. Sakthivel
  • Yong Ren
  • S. M. Anthoni
  • N. I. Mahmudov

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.

Suggested Citation

  • R. Ganesh & R. Sakthivel & Yong Ren & S. M. Anthoni & N. I. Mahmudov, 2013. "Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:901625
    DOI: 10.1155/2013/901625
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    References listed on IDEAS

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    1. Jaydev Dabas & Archana Chauhan & Mukesh Kumar, 2011. "Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-20, October.
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