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

Abstract 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 inequali...

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Autores principales:	Velusamy Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, Wasim Jamshed, Shahram Rezapour
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Approximate controllability Gronwall’s inequality Resolvent operators Second-order integro-differential systems Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/b5dc26c604fa45848c64175c1313f8af
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spelling	oai:doaj.org-article:b5dc26c604fa45848c64175c1313f8af2021-11-07T12:13:21ZA note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators10.1186/s13662-021-03639-81687-1847https://doaj.org/article/b5dc26c604fa45848c64175c1313f8af2021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03639-8https://doaj.org/toc/1687-1847Abstract 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.Velusamy VijayakumarAnurag ShuklaKottakkaran Sooppy NisarWasim JamshedShahram RezapourSpringerOpenarticleApproximate controllabilityGronwall’s inequalityResolvent operatorsSecond-order integro-differential systemsMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Approximate controllability Gronwall’s inequality Resolvent operators Second-order integro-differential systems Mathematics QA1-939
spellingShingle	Approximate controllability Gronwall’s inequality Resolvent operators Second-order integro-differential systems Mathematics QA1-939 Velusamy Vijayakumar Anurag Shukla Kottakkaran Sooppy Nisar Wasim Jamshed Shahram Rezapour A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators
description	Abstract 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.
format	article
author	Velusamy Vijayakumar Anurag Shukla Kottakkaran Sooppy Nisar Wasim Jamshed Shahram Rezapour
author_facet	Velusamy Vijayakumar Anurag Shukla Kottakkaran Sooppy Nisar Wasim Jamshed Shahram Rezapour
author_sort	Velusamy Vijayakumar
title	A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators
title_short	A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators
title_full	A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators
title_fullStr	A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators
title_full_unstemmed	A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators
title_sort	note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/b5dc26c604fa45848c64175c1313f8af
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A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators

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