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Regional boundary controllability of semilinear subdiffusion Caputo fractional systems

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  • Tajani, Asmae
  • El Alaoui, Fatima-Zahrae
  • Boutoulout, Ali

Abstract

In this paper we considers the Caputo fractional semi linear control systems, then we obtain sufficient conditions for regional boundary controllability of a board class of considered system with order (0<α≤1). The conditions are obtained using fractional calculus and Schauder’s fixed point theorem, that leads to an important approach based on a link between internal and boundary controllability which will be summarized as an algorithm. At the end, some simulations are given to show the application of our result.

Suggested Citation

  • Tajani, Asmae & El Alaoui, Fatima-Zahrae & Boutoulout, Ali, 2022. "Regional boundary controllability of semilinear subdiffusion Caputo fractional systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 481-496.
    • Handle: RePEc:eee:matcom:v:193:y:2022:i:c:p:481-496
    DOI: 10.1016/j.matcom.2021.10.008
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    References listed on IDEAS

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    1. X. Zhang, 2000. "Exact Controllability of Semilinear Evolution Systems and Its Application," Journal of Optimization Theory and Applications, Springer, vol. 107(2), pages 415-432, November.
    2. Atangana, Abdon & Koca, Ilknur, 2016. "Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 447-454.
    3. Alvaro Cartea & Diego del-Castillo-Negrete, 2007. "On the Fluid Limit of the Continuous-Time Random Walk with General Lévy Jump Distribution Functions," Birkbeck Working Papers in Economics and Finance 0708, Birkbeck, Department of Economics, Mathematics & Statistics.
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    1. Asmae Tajani & Fatima-Zahrae El Alaoui, 2023. "Boundary Controllability of Riemann–Liouville Fractional Semilinear Evolution Systems," Journal of Optimization Theory and Applications, Springer, vol. 198(2), pages 767-780, August.

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