Boundary Controllability of Riemann–Liouville Fractional Semilinear Evolution Systems

Asmae Tajani () and Fatima-Zahrae El Alaoui ()
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Asmae Tajani: Moulay Ismail University, Faculty of Sciences
Fatima-Zahrae El Alaoui: Moulay Ismail University, Faculty of Sciences

Journal of Optimization Theory and Applications, 2023, vol. 198, issue 2, No 12, 767-780

Abstract: Abstract The main objective of this work is to steer a semilinear time-fractional diffusion control system involving Riemann–Liouville fractional derivative to a desired state in a part of the boundary of the evolution domain. For that, we use fixed point technique, semigroup theory and fractional calculus under some proposed assumptions in the linear part of the system and the nonlinear term. At the end, we provide some numerical simulations which lead to successful figures, in order to guarantee the efficiency of the proposed approach.

Keywords: Riemann–Liouville fractional derivative; Semilinear equations; Diffusion system; Regional controllability; Fixed point theorem (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10957-023-02248-7

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