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Approximate Controllability of Fractional Integrodifferential Evolution Equations

Author

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

Abstract

This paper addresses the issue of approximate controllability for a class of control system which is represented by nonlinear fractional integrodifferential equations with nonlocal conditions. By using semigroup theory, p‐mean continuity and fractional calculations, a set of sufficient conditions, are formulated and proved for the nonlinear fractional control systems. More precisely, the results are established under the assumption that the corresponding linear system is approximately controllable and functions satisfy non‐Lipschitz conditions. The results generalize and improve some known results.

Suggested Citation

  • R. Ganesh & R. Sakthivel & N. I. Mahmudov & S. M. Anthoni, 2013. "Approximate Controllability of Fractional Integrodifferential Evolution Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:291816
    DOI: 10.1155/2013/291816
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    References listed on IDEAS

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    1. X. J. Wan & Y. P. Zhang & J. T. Sun, 2013. "Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, March.
    2. X. J. Wan & Y. P. Zhang & J. T. Sun, 2013. "Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Zhenhai Liu & Maojun Bin, 2013. "Approximate Controllability for Impulsive Riemann‐Liouville Fractional Differential Inclusions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Hai Zhang & Jinde Cao & Wei Jiang, 2013. "Reachability and Controllability of Fractional Singular Dynamical Systems with Control Delay," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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