https://doi.org/10.1140/epjs/s11734-024-01324-x
Regular Article
Controllability of impulsive fractional damped integrodifferential systems with distributed delays
Department of Mathematics, PSGR Krishnammal College for Women, Peelamedu, 641 004, Coimbatore, Tamilnadu, India
Received:
29
April
2024
Accepted:
29
August
2024
Published online:
26
September
2024
This paper focuses on controllability results for impulsive fractional distributed delay systems with damping behavior, involving the Caputo fractional derivative (CFD) for both linear and integro-differential systems. For linear systems, controllability results are established through the controllability Grammian matrix and employing a control function. Sufficient conditions for the controllability of nonlinear systems are derived using the Schauder fixed point theorem. An example is provided to illustrate the theory.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
