Harvest Management Problem with a Fractional Logistic Equation

Autores
Barrios, Melani; Reyero, Gabriela Fernanda; Tidball, Mabel Maria
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article, we study a fractional control problem that models the maximization of the profit obtained by exploiting a certain resource whose dynamics are governed by the fractional logistic equation. Due to the singularity of this problem, we develop different resolution techniques, both for the classical case and for the fractional case. We perform several numerical simulations to make a comparison between both cases.
Fil: Barrios, Melani. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Reyero, Gabriela Fernanda. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Tidball, Mabel Maria. Université Montpellier II; Francia
Materia
FRACTIONAL LOGISTIC EQUATION
CAPUTO DERIVATIVE
FRACTIONAL OPTIMAL CONTROL PROBLEM
NATURAL RESOURSE MANAGEMENT
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/162096
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Harvest Management Problem with a Fractional Logistic EquationBarrios, MelaniReyero, Gabriela FernandaTidball, Mabel MariaFRACTIONAL LOGISTIC EQUATIONCAPUTO DERIVATIVEFRACTIONAL OPTIMAL CONTROL PROBLEMNATURAL RESOURSE MANAGEMENThttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article, we study a fractional control problem that models the maximization of the profit obtained by exploiting a certain resource whose dynamics are governed by the fractional logistic equation. Due to the singularity of this problem, we develop different resolution techniques, both for the classical case and for the fractional case. We perform several numerical simulations to make a comparison between both cases.Fil: Barrios, Melani. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaFil: Reyero, Gabriela Fernanda. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Tidball, Mabel Maria. Université Montpellier II; FranciaAkadémiai Kiadó2021-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/162096Barrios, Melani; Reyero, Gabriela Fernanda; Tidball, Mabel Maria; Harvest Management Problem with a Fractional Logistic Equation; Akadémiai Kiadó; Mathematica Pannonica; 27; 2; 10-2021; 152-1630865-20902786-0752CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://akjournals.com/view/journals/314/aop/article-10.1556-314.2021.00014/article-10.1556-314.2021.00014.xmlinfo:eu-repo/semantics/altIdentifier/doi/10.1556/314.2021.00014info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:07:26Zoai:ri.conicet.gov.ar:11336/162096instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:07:26.702CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Harvest Management Problem with a Fractional Logistic Equation
title Harvest Management Problem with a Fractional Logistic Equation
spellingShingle Harvest Management Problem with a Fractional Logistic Equation
Barrios, Melani
FRACTIONAL LOGISTIC EQUATION
CAPUTO DERIVATIVE
FRACTIONAL OPTIMAL CONTROL PROBLEM
NATURAL RESOURSE MANAGEMENT
title_short Harvest Management Problem with a Fractional Logistic Equation
title_full Harvest Management Problem with a Fractional Logistic Equation
title_fullStr Harvest Management Problem with a Fractional Logistic Equation
title_full_unstemmed Harvest Management Problem with a Fractional Logistic Equation
title_sort Harvest Management Problem with a Fractional Logistic Equation
dc.creator.none.fl_str_mv Barrios, Melani
Reyero, Gabriela Fernanda
Tidball, Mabel Maria
author Barrios, Melani
author_facet Barrios, Melani
Reyero, Gabriela Fernanda
Tidball, Mabel Maria
author_role author
author2 Reyero, Gabriela Fernanda
Tidball, Mabel Maria
author2_role author
author
dc.subject.none.fl_str_mv FRACTIONAL LOGISTIC EQUATION
CAPUTO DERIVATIVE
FRACTIONAL OPTIMAL CONTROL PROBLEM
NATURAL RESOURSE MANAGEMENT
topic FRACTIONAL LOGISTIC EQUATION
CAPUTO DERIVATIVE
FRACTIONAL OPTIMAL CONTROL PROBLEM
NATURAL RESOURSE MANAGEMENT
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this article, we study a fractional control problem that models the maximization of the profit obtained by exploiting a certain resource whose dynamics are governed by the fractional logistic equation. Due to the singularity of this problem, we develop different resolution techniques, both for the classical case and for the fractional case. We perform several numerical simulations to make a comparison between both cases.
Fil: Barrios, Melani. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Reyero, Gabriela Fernanda. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Tidball, Mabel Maria. Université Montpellier II; Francia
description In this article, we study a fractional control problem that models the maximization of the profit obtained by exploiting a certain resource whose dynamics are governed by the fractional logistic equation. Due to the singularity of this problem, we develop different resolution techniques, both for the classical case and for the fractional case. We perform several numerical simulations to make a comparison between both cases.
publishDate 2021
dc.date.none.fl_str_mv 2021-10
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 http://hdl.handle.net/11336/162096
Barrios, Melani; Reyero, Gabriela Fernanda; Tidball, Mabel Maria; Harvest Management Problem with a Fractional Logistic Equation; Akadémiai Kiadó; Mathematica Pannonica; 27; 2; 10-2021; 152-163
0865-2090
2786-0752
CONICET Digital
CONICET
url http://hdl.handle.net/11336/162096
identifier_str_mv Barrios, Melani; Reyero, Gabriela Fernanda; Tidball, Mabel Maria; Harvest Management Problem with a Fractional Logistic Equation; Akadémiai Kiadó; Mathematica Pannonica; 27; 2; 10-2021; 152-163
0865-2090
2786-0752
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://akjournals.com/view/journals/314/aop/article-10.1556-314.2021.00014/article-10.1556-314.2021.00014.xml
info:eu-repo/semantics/altIdentifier/doi/10.1556/314.2021.00014
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Akadémiai Kiadó
publisher.none.fl_str_mv Akadémiai Kiadó
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.993085

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