Regional boundary controllability of semilinear subdiffusion Caputo fractional systems

Asmae Tajani, Fatima-Zahrae El Alaoui and Ali Boutoulout

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 193, issue C, 481-496

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.

Keywords: Controllability; Semi-linear systems; Schauder’s fixed point theorem; Fractional calculus; HUM approach; Green’s formula (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:193:y:2022:i:c:p:481-496

DOI: 10.1016/j.matcom.2021.10.008

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