Exact controllability of conformable linear systems with semilinear boundary control
Articles
Abdellah Lourini
Chouaib Doukkali University image/svg+xml
https://orcid.org/0000-0002-6923-5997
Mohamed El Azzouzi
Chouaib Doukkali University image/svg+xml
Mohamed Laabissi
Chouaib Doukkali University image/svg+xml
Published 2026-01-01
https://doi.org/10.15388/namc.2026.31.44149
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Keywords

conformable derivative
controllability
fixed point theorem
semilinear boundary control
fractional semigroups

How to Cite

Lourini, A., El Azzouzi, M. and Laabissi, M. (2026) “Exact controllability of conformable linear systems with semilinear boundary control”, Nonlinear Analysis: Modelling and Control, 31(1), pp. 110–130. doi:10.15388/namc.2026.31.44149.

Abstract

In this manuscript, we investigate the exact controllability of a class of linear systems governed by conformable fractional derivatives of order α in (0; 1] subject to semilinear boundary control in Banach spaces. We first establish the existence of mild solutions to the associated fractional Cauchy problems. We then derive sufficient conditions ensuring the exact controllability of these conformable linear systems under semilinear boundary control actions. An abstract model of an age-structured population dynamics system is provided to illustrate the applicability of the theoretical results.

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