A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators

The approximate controllability of second-order integro-differential evolution control systems using resolvent operators is the focus of this work. We analyze approximate controllability outcomes by referring to fractional theories, resolvent operators, semigroup theory, Gronwall’s inequality, and L...

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Veröffentlicht in:	Advances in difference equations 2021-11, Vol.2021 (1), p.1-13, Article 484
Hauptverfasser:	Vijayakumar, Velusamy, Shukla, Anurag, Nisar, Kottakkaran Sooppy, Jamshed, Wasim, Rezapour, Shahram
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Approximate controllability Banach spaces Control systems Control theory Controllability Difference and Functional Equations Evolution Evolutionary computation Fixed Point Theory and Applications to Fractional Ordinary and Partial Difference and Differential Equations Fixed points (mathematics) Functional Analysis Gronwall’s inequality Hilbert space Lipschitz condition Mathematical functions Mathematics Mathematics and Statistics Operators Ordinary Differential Equations Partial Differential Equations Resolvent operators Second-order integro-differential systems
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Zusammenfassung:	The approximate controllability of second-order integro-differential evolution control systems using resolvent operators is the focus of this work. We analyze approximate controllability outcomes by referring to fractional theories, resolvent operators, semigroup theory, Gronwall’s inequality, and Lipschitz condition. The article avoids the use of well-known fixed point theorem approaches. We have also included one example of theoretical consequences that has been validated.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-021-03639-8