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Existence and Controllability Results for Fractional Impulsive Integrodifferential Systems in Banach Spaces

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  • Haiyong Qin
  • Xin Zuo
  • Jianwei Liu

Abstract

We firstly study the existence of PC-mild solutions for impulsive fractional semilinear integrodifferential equations and then present controllability results for fractional impulsive integrodifferential systems in Banach spaces. The method we adopt is based on fixed point theorem, semigroup theory, and generalized Bellman inequality. The results obtained in this paper improve and extend some known results. At last, an example is presented to demonstrate the applications of our main results.

Suggested Citation

  • Haiyong Qin & Xin Zuo & Jianwei Liu, 2013. "Existence and Controllability Results for Fractional Impulsive Integrodifferential Systems in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, June.
    • Handle: RePEc:hin:jnlaaa:295837
    DOI: 10.1155/2013/295837
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    Cited by:

    1. Suganya, S. & Mallika Arjunan, M. & Trujillo, J.J., 2015. "Existence results for an impulsive fractional integro-differential equation with state-dependent delay," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 54-69.

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