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Regional Controllability of Riemann–Liouville Time-Fractional Semilinear Evolution Equations

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  • Asmae Tajani
  • Fatima Zahrae El Alaoui
  • Ali Boutoulout

Abstract

In this paper, we discuss the exact regional controllability of fractional evolution equations involving Riemann–Liouville fractional derivative of order . The result is obtained with the help of the theory of fractional calculus, semigroup theory, and Banach fixed-point theorem under several assumptions on the corresponding linear system and the nonlinear term. Finally, some numerical simulations are given to illustrate the obtained result.

Suggested Citation

  • Asmae Tajani & Fatima Zahrae El Alaoui & Ali Boutoulout, 2020. "Regional Controllability of Riemann–Liouville Time-Fractional Semilinear Evolution Equations," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-7, November.
  • Handle: RePEc:hin:jnlmpe:5704251
    DOI: 10.1155/2020/5704251
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    Cited by:

    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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