$Controllability of a damped nonlinear fractional order integrodifferential system with input delay$
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Controllability of a damped nonlinear fractional order integrodifferential system with input delay

A novel nonlinear fractional order damped Pantographs equation involving input delay is formulated. We explored the controllability of the underlying nonlinear damped dynamical Pantograph equation of fractional order with input delay. The solution of the problem under consideration has initially exp...

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Autores principales:	Irshad Ahmad, Ghaus Ur Rahman, Saeed Ahmad, Nawal A. Alshehri, S.K. Elagan
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Fractional order differential equations Pantograph equation Grammians matrices Controllability Damped motion Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/3e4d3f04031d4f3f86e5de8812a476fb
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spelling	oai:doaj.org-article:3e4d3f04031d4f3f86e5de8812a476fb2021-11-30T04:13:43ZControllability of a damped nonlinear fractional order integrodifferential system with input delay1110-016810.1016/j.aej.2021.06.081https://doaj.org/article/3e4d3f04031d4f3f86e5de8812a476fb2022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004440https://doaj.org/toc/1110-0168A novel nonlinear fractional order damped Pantographs equation involving input delay is formulated. We explored the controllability of the underlying nonlinear damped dynamical Pantograph equation of fractional order with input delay. The solution of the problem under consideration has initially expressed in the form of the Mittag–Leffler function in two different domains. The controllability Grammians matrices for both cases have been defined. Controllability in the linear case has been shown and applied Schaefer’s fixed point theorem as well as the Arzela-Ascoli theorem to derive necessary conditions for the controllability of the nonlinear case.Irshad AhmadGhaus Ur RahmanSaeed AhmadNawal A. AlshehriS.K. ElaganElsevierarticleFractional order differential equationsPantograph equationGrammians matricesControllabilityDamped motionEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 3, Pp 1956-1966 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Fractional order differential equations Pantograph equation Grammians matrices Controllability Damped motion Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Fractional order differential equations Pantograph equation Grammians matrices Controllability Damped motion Engineering (General). Civil engineering (General) TA1-2040 Irshad Ahmad Ghaus Ur Rahman Saeed Ahmad Nawal A. Alshehri S.K. Elagan Controllability of a damped nonlinear fractional order integrodifferential system with input delay
description	A novel nonlinear fractional order damped Pantographs equation involving input delay is formulated. We explored the controllability of the underlying nonlinear damped dynamical Pantograph equation of fractional order with input delay. The solution of the problem under consideration has initially expressed in the form of the Mittag–Leffler function in two different domains. The controllability Grammians matrices for both cases have been defined. Controllability in the linear case has been shown and applied Schaefer’s fixed point theorem as well as the Arzela-Ascoli theorem to derive necessary conditions for the controllability of the nonlinear case.
format	article
author	Irshad Ahmad Ghaus Ur Rahman Saeed Ahmad Nawal A. Alshehri S.K. Elagan
author_facet	Irshad Ahmad Ghaus Ur Rahman Saeed Ahmad Nawal A. Alshehri S.K. Elagan
author_sort	Irshad Ahmad
title	Controllability of a damped nonlinear fractional order integrodifferential system with input delay
title_short	Controllability of a damped nonlinear fractional order integrodifferential system with input delay
title_full	Controllability of a damped nonlinear fractional order integrodifferential system with input delay
title_fullStr	Controllability of a damped nonlinear fractional order integrodifferential system with input delay
title_full_unstemmed	Controllability of a damped nonlinear fractional order integrodifferential system with input delay
title_sort	controllability of a damped nonlinear fractional order integrodifferential system with input delay
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/3e4d3f04031d4f3f86e5de8812a476fb
work_keys_str_mv	AT irshadahmad controllabilityofadampednonlinearfractionalorderintegrodifferentialsystemwithinputdelay AT ghausurrahman controllabilityofadampednonlinearfractionalorderintegrodifferentialsystemwithinputdelay AT saeedahmad controllabilityofadampednonlinearfractionalorderintegrodifferentialsystemwithinputdelay AT nawalaalshehri controllabilityofadampednonlinearfractionalorderintegrodifferentialsystemwithinputdelay AT skelagan controllabilityofadampednonlinearfractionalorderintegrodifferentialsystemwithinputdelay
_version_	1718406858104897536

Controllability of a damped nonlinear fractional order integrodifferential system with input delay

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