Continuability of Lienard’s type system with generalized local derivative

Autores
Chatzarakis, George E.; Nápoles Valdés, Juan Eduardo
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Chatzarakis, George E. School of Pedagogical and Technological Education. Department of Electrical and Electronic Engineering Educators; Grecia.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina.
In this paper, we study the boundedness and continuability of the solutions of a generalized Liénard type system, using fractional derivatives of the local type. We obtain sufficient conditions for the solutions to be bounded and continuous by a suitably defined Lyapunov function. We illustrate the results and suggest extensions to asymptotic stability, through various examples adapted from the relevant literature.
Fuente
Discontinuity, Nonlinearity, and Complexity, 2023, vol. 12, no. 1, p. 1-11.
Materia
Generalized ordinary differential operator
Continuability
Oscillation
Liénard equation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
Institución
Universidad Nacional del Nordeste
OAI Identificador
oai:repositorio.unne.edu.ar:123456789/60145
Acceder
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oai_identifier_str oai:repositorio.unne.edu.ar:123456789/60145
network_acronym_str RIUNNE
repository_id_str 4871
network_name_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
spelling Continuability of Lienard’s type system with generalized local derivativeChatzarakis, George E.Nápoles Valdés, Juan EduardoGeneralized ordinary differential operatorContinuabilityOscillationLiénard equationFil: Chatzarakis, George E. School of Pedagogical and Technological Education. Department of Electrical and Electronic Engineering Educators; Grecia.Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.Fil: Nápoles Valdés, Juan Eduardo. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina.In this paper, we study the boundedness and continuability of the solutions of a generalized Liénard type system, using fractional derivatives of the local type. We obtain sufficient conditions for the solutions to be bounded and continuous by a suitably defined Lyapunov function. We illustrate the results and suggest extensions to asymptotic stability, through various examples adapted from the relevant literature.L&H Scientific Publishing2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfp. 1-11application/pdfChatzarakis, George E. y Nápoles Valdés, Juan Eduardo, 2023. Continuability of Lienard’s type system with generalized local derivative. Discontinuity, Nonlinearity, and Complexity. Glen Carbon: L&H Scientific Publishing, vol. 12, no. 1, p. 1-11. E-ISSN 2164-6414. DOI http://dx.doi.org/10.5890/DNC.2023.03.0012164-6376http://repositorio.unne.edu.ar/handle/123456789/60145Discontinuity, Nonlinearity, and Complexity, 2023, vol. 12, no. 1, p. 1-11.reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteenghttp://dx.doi.org/10.5890/DNC.2023.03.001https://www.lhscientificpublishing.com/Journals/articles/DOI-10.5890-DNC.2023.03.001.aspxinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2026-09-24T12:48:07Zoai:repositorio.unne.edu.ar:123456789/60145instacron:UNNEInstitucionalhttp://repositorio.unne.edu.ar/Universidad públicaNo correspondehttp://repositorio.unne.edu.ar/oaiososa@bib.unne.edu.ar;sergio.alegria@unne.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:48712026-09-24 12:48:08.293Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
dc.title.none.fl_str_mv Continuability of Lienard’s type system with generalized local derivative
title Continuability of Lienard’s type system with generalized local derivative
spellingShingle Continuability of Lienard’s type system with generalized local derivative
Chatzarakis, George E.
Generalized ordinary differential operator
Continuability
Oscillation
Liénard equation
title_short Continuability of Lienard’s type system with generalized local derivative
title_full Continuability of Lienard’s type system with generalized local derivative
title_fullStr Continuability of Lienard’s type system with generalized local derivative
title_full_unstemmed Continuability of Lienard’s type system with generalized local derivative
title_sort Continuability of Lienard’s type system with generalized local derivative
dc.creator.none.fl_str_mv Chatzarakis, George E.
Nápoles Valdés, Juan Eduardo
author Chatzarakis, George E.
author_facet Chatzarakis, George E.
Nápoles Valdés, Juan Eduardo
author_role author
author2 Nápoles Valdés, Juan Eduardo
author2_role author
dc.subject.none.fl_str_mv Generalized ordinary differential operator
Continuability
Oscillation
Liénard equation
topic Generalized ordinary differential operator
Continuability
Oscillation
Liénard equation
dc.description.none.fl_txt_mv Fil: Chatzarakis, George E. School of Pedagogical and Technological Education. Department of Electrical and Electronic Engineering Educators; Grecia.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.
Fil: Nápoles Valdés, Juan Eduardo. Universidad Tecnológica Nacional. Facultad Regional Resistencia; Argentina.
In this paper, we study the boundedness and continuability of the solutions of a generalized Liénard type system, using fractional derivatives of the local type. We obtain sufficient conditions for the solutions to be bounded and continuous by a suitably defined Lyapunov function. We illustrate the results and suggest extensions to asymptotic stability, through various examples adapted from the relevant literature.
description Fil: Chatzarakis, George E. School of Pedagogical and Technological Education. Department of Electrical and Electronic Engineering Educators; Grecia.
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv Chatzarakis, George E. y Nápoles Valdés, Juan Eduardo, 2023. Continuability of Lienard’s type system with generalized local derivative. Discontinuity, Nonlinearity, and Complexity. Glen Carbon: L&H Scientific Publishing, vol. 12, no. 1, p. 1-11. E-ISSN 2164-6414. DOI http://dx.doi.org/10.5890/DNC.2023.03.001
2164-6376
http://repositorio.unne.edu.ar/handle/123456789/60145
identifier_str_mv Chatzarakis, George E. y Nápoles Valdés, Juan Eduardo, 2023. Continuability of Lienard’s type system with generalized local derivative. Discontinuity, Nonlinearity, and Complexity. Glen Carbon: L&H Scientific Publishing, vol. 12, no. 1, p. 1-11. E-ISSN 2164-6414. DOI http://dx.doi.org/10.5890/DNC.2023.03.001
2164-6376
url http://repositorio.unne.edu.ar/handle/123456789/60145
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://dx.doi.org/10.5890/DNC.2023.03.001
https://www.lhscientificpublishing.com/Journals/articles/DOI-10.5890-DNC.2023.03.001.aspx
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
dc.format.none.fl_str_mv application/pdf
p. 1-11
application/pdf
dc.publisher.none.fl_str_mv L&H Scientific Publishing
publisher.none.fl_str_mv L&H Scientific Publishing
dc.source.none.fl_str_mv Discontinuity, Nonlinearity, and Complexity, 2023, vol. 12, no. 1, p. 1-11.
reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname:Universidad Nacional del Nordeste
reponame_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
collection Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname_str Universidad Nacional del Nordeste
repository.name.fl_str_mv Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordeste
repository.mail.fl_str_mv ososa@bib.unne.edu.ar;sergio.alegria@unne.edu.ar
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score 13.265058

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