Results on partial approximate controllability of fractional control systems in Hilbert spaces with conformable derivatives
Source abstract
Abstract
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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Research context
OpenAlex topics: Fractional Differential Equations Solutions · Nonlinear Differential Equations Analysis · Differential Equations and Boundary Problems
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Affiliations
Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University , Beirut P.O. Box 11-5020, Lebanon
References (41)
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