Controllability of infinite-dimensional conformable linear and semilinear systems

Ennouari, Toufik; Abouzaid, Bouchra; Achhab, M.E.

doi:10.1007/s40435-022-01055-8

Cited by 4 publications

(1 citation statement)

References 37 publications

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“…Te majority of previous researches concerning controllability issues of fractional control systems have employed the Riemann-Liouville, Caputo, and Hilfer fractional derivatives. Nevertheless, there has been limited investigation into the controllability problems associated with fractional systems using the conformable fractional derivative [25][26][27][28]. Tis represents a notable gap in the existing body of literature, considering that the conformable fractional derivative ofers several advantages compared to the Riemann-Liouville, Caputo and Hilfer fractional derivatives, including its greater naturalness and geometric intuitiveness.…”

Section: Introductionmentioning

confidence: 99%

On Partial Exact Controllability of Fractional Control Systems in Conformable Sense

Jneid

2024

Journal of Mathematics

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In this work, we investigate the partial exact controllability of fractional semilinear control systems in the sense of conformable derivatives. Initially, we establish the existence and uniqueness of the mild solution for this type of fractional control systems. Then, by employing a contraction mapping principle, we obtain sufficient conditions for the conformable fractional semilinear system to be partially exactly controllable, assuming that its associated linear part is partially exactly controllable. To demonstrate the efficacy of the theoretical findings, a typical example is provided at the end.

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Section: Introductionmentioning

confidence: 99%

On Partial Exact Controllability of Fractional Control Systems in Conformable Sense

Jneid

2024

Journal of Mathematics

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On the observability of infinite-dimensional conformable systems

Ennouari

Abouzaid

Achhab

2023

Int. J. Dynam. Control

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Results on partial approximate controllability of fractional control systems in Hilbert spaces with conformable derivatives

Jneid

2024

AIP Advances

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This paper investigates partial approximate controllability of fractional linear and semi-linear control systems involving the conformable derivative. First, we derive sufficient and necessary conditions for partial approximate controllability of fractional linear systems over a small interval. Then, we apply a new approach, different from typical methods involving complexity inequalities and fixed point theorems, to obtain sufficient conditions for partial approximate controllability of semi-linear fractional control systems, assuming that the linear part is partially approximately controllable. The effectiveness of these results is demonstrated through an illustrative example.

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Controllability of infinite-dimensional conformable linear and semilinear systems

Cited by 4 publications

References 37 publications

On Partial Exact Controllability of Fractional Control Systems in Conformable Sense

On Partial Exact Controllability of Fractional Control Systems in Conformable Sense

On the observability of infinite-dimensional conformable systems

Results on partial approximate controllability of fractional control systems in Hilbert spaces with conformable derivatives

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