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Exact Controllability for a Class of Fractional Semilinear System of Order 1

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  • Yunhao Chu
  • Yansheng Liu

Abstract

This paper is mainly concerned with the existence of mild solutions and exact controllability for a class of fractional semilinear system of order q ∈ (1, 2) with instantaneous and noninstantaneous impulses. First, combining the Kuratowski measure of noncompactness and the Mönch fixed point theorem, we investigated the existence result for the considered system. It is remarkable that our assumptions for impulses and the nonlinear term are weaker than the Lipschitz conditions. Next, on this basis, the exact controllability for the considered system is determined. In the end, an example is provided to support the main findings.

Suggested Citation

  • Yunhao Chu & Yansheng Liu, 2023. "Exact Controllability for a Class of Fractional Semilinear System of Order 1," Journal of Applied Mathematics, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnljam:v:2023:y:2023:i:1:n:8300785
    DOI: 10.1155/2023/8300785
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    References listed on IDEAS

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    1. Ge, Zheng-Ming & Jhuang, Wei-Ren, 2007. "Chaos, control and synchronization of a fractional order rotational mechanical system with a centrifugal governor," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 270-289.
    2. Shukla, Anurag & Vijayakumar, V. & Nisar, Kottakkaran Sooppy, 2022. "A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order r∈(1,2)," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
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