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Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System

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  • Amar Debbouche
  • Dumitru Baleanu

Abstract

We introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a class of fractional evolution nonlocal integrodifferential control system in Banach space. As an application that illustrates the abstract results, two examples are provided.

Suggested Citation

  • Amar Debbouche & Dumitru Baleanu, 2012. "Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, September.
    • Handle: RePEc:hin:jnljam:931975
    DOI: 10.1155/2012/931975
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    Cited by:

    1. Vadivoo, B.Sundara & Raja, R. & Seadawy, R. Aly & Rajchakit, G., 2019. "Nonlinear integro-differential equations with small unknown parameters: A controllability analysis problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 15-26.
    2. Sathiyaraj, T. & Fečkan, Michal & Wang, JinRong, 2020. "Null controllability results for stochastic delay systems with delayed perturbation of matrices," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).

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