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Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions

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  • Zhenhai Liu
  • Maojun Bin

Abstract

We study the control systems governed by impulsive Riemann-Liouville fractional differential inclusions and their approximate controllability in Banach space. Firstly, we introduce the -mild solutions for the impulsive Riemann-Liouville fractional differential inclusions in Banach spaces. Secondly, by using the fractional power of operators and a fixed point theorem for multivalued maps, we establish sufficient conditions for the approximate controllability for a class of Riemann-Liouville fractional impulsive differential inclusions, which is a generalization and continuation of the recent results on this issue. At the end, we give an example to illustrate the application of the abstract results.

Suggested Citation

  • Zhenhai Liu & Maojun Bin, 2013. "Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-17, December.
    • Handle: RePEc:hin:jnlaaa:639492
    DOI: 10.1155/2013/639492
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    Cited by:

    1. Hamdy M. Ahmed & Mahmoud M. El-Borai & Hassan M. El-Owaidy & Ahmed S. Ghanem, 2019. "Existence Solution and Controllability of Sobolev Type Delay Nonlinear Fractional Integro-Differential System," Mathematics, MDPI, vol. 7(1), pages 1-14, January.

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