Exact Controllability of Hilfer Fractional Differential System with Non-instantaneous Impluleses and State Dependent Delay

• Aziz Khan ^[1] ; Qura Tul Ain ^[2] ; Thabet Abdeljawad ^[4] ; Kottakkaran Sooppy Nisar ^[3]
  1. [1] Prince Sultan University

     Prince Sultan University

     Arabia Saudí

     
  2. [2] Guizhou University

     Guizhou University

     China

     
  3. [3] Prince Sattam Bin Abdulaziz University

     Prince Sattam Bin Abdulaziz University

     Arabia Saudí

     
  4. [4] Prince Sultan University & China Medical University

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 2, 2023
• Idioma: inglés
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• Resumen

  • In this article, we discuss the exact controllability of a fractional order differential system involving Hilfer fractional(HF) derivative, state-dependent delay function and impulsive conditions. To obtain the proposed result, we use the semigroup theory, theory of measure of non-compactness and fixed point technique. Finally, an example is given to illustrate the application of the obtained results.