Controllability Results of Hilfer Fractional Derivative Through Integral Contractors

K. Jothimani ^[3] ; N. Valliammal ^[4] ; S. Alsaeed ^[1] ; Kottakkaran S. Nisar ^[2] ; C. Ravichandran ^[5]
1. [1] Prince Sattam Bin Abdulaziz University
  
  Prince Sattam Bin Abdulaziz University
  
  Arabia Saudí
2. [2] Umm al-Qura University
  
  Umm al-Qura University
  
  Arabia Saudí
3. [3] Vellore Institute of Technology
4. [4] Sri Eshwar College of Engineering
5. [5] Kongunadu Arts and Science College
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Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 4, 2023
Idioma: inglés
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Resumen
- The paper sheds light on Hilfer’s controllability facts of neutral fractional system. Originally, the mild solution is derived using semigroup theory and the Laplace transform approach. Controllability of the Hilfer fractional system in non-dense domain using integral contractor which employs the sequence technique with the advantage that the nonlinear function does not meet the Lipschitz condition. To support the computed results, an appropriate examples are discussed.