Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivative

Autores
Roscani, Sabrina Dina; Venturato, Lucas David; Tarzia, Domingo Alberto
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article we prove existence and uniqueness of global solution to an initial value problem for a nonlinear fractional differential equation with a Caputo-Fabrizio (CF) derivative. We provide a new compact formula for the computation of the CF derivative to power functions (which is given in terms of Mittag-Leffler functions). We also give the convergence to classical derivatives for a regular class of functions when the order of the CF derivative tends to one, as well as some other useful properties.
Fil: Roscani, Sabrina Dina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Venturato, Lucas David. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Materia
CAPUTO-FABRIZIO DERIVATIVE
FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS
GLOBAL SOLUTION
MITTAG-LEFLER FUNCTION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/151866
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivativeRoscani, Sabrina DinaVenturato, Lucas DavidTarzia, Domingo AlbertoCAPUTO-FABRIZIO DERIVATIVEFRACTIONAL ORDINARY DIFFERENTIAL EQUATIONSGLOBAL SOLUTIONMITTAG-LEFLER FUNCTIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article we prove existence and uniqueness of global solution to an initial value problem for a nonlinear fractional differential equation with a Caputo-Fabrizio (CF) derivative. We provide a new compact formula for the computation of the CF derivative to power functions (which is given in terms of Mittag-Leffler functions). We also give the convergence to classical derivatives for a regular class of functions when the order of the CF derivative tends to one, as well as some other useful properties.Fil: Roscani, Sabrina Dina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaFil: Venturato, Lucas David. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaFil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaNatural Sciences Publishing2019-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/151866Roscani, Sabrina Dina; Venturato, Lucas David; Tarzia, Domingo Alberto; Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivative; Natural Sciences Publishing; Progress in Fractional Differentiation and Applications; 5; 4; 4-2019; 269-2812356-93362356-9344CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1809.02189info:eu-repo/semantics/altIdentifier/url/https://dc.naturalspublishing.com/pfda/vol5/iss4/2/info:eu-repo/semantics/altIdentifier/doi/10.18576/pfda/050403info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:06:45Zoai:ri.conicet.gov.ar:11336/151866instacron: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:34982025-10-22 11:06:46.061CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivative
title Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivative
spellingShingle Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivative
Roscani, Sabrina Dina
CAPUTO-FABRIZIO DERIVATIVE
FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS
GLOBAL SOLUTION
MITTAG-LEFLER FUNCTION
title_short Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivative
title_full Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivative
title_fullStr Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivative
title_full_unstemmed Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivative
title_sort Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivative
dc.creator.none.fl_str_mv Roscani, Sabrina Dina
Venturato, Lucas David
Tarzia, Domingo Alberto
author Roscani, Sabrina Dina
author_facet Roscani, Sabrina Dina
Venturato, Lucas David
Tarzia, Domingo Alberto
author_role author
author2 Venturato, Lucas David
Tarzia, Domingo Alberto
author2_role author
author
dc.subject.none.fl_str_mv CAPUTO-FABRIZIO DERIVATIVE
FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS
GLOBAL SOLUTION
MITTAG-LEFLER FUNCTION
topic CAPUTO-FABRIZIO DERIVATIVE
FRACTIONAL ORDINARY DIFFERENTIAL EQUATIONS
GLOBAL SOLUTION
MITTAG-LEFLER FUNCTION
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 prove existence and uniqueness of global solution to an initial value problem for a nonlinear fractional differential equation with a Caputo-Fabrizio (CF) derivative. We provide a new compact formula for the computation of the CF derivative to power functions (which is given in terms of Mittag-Leffler functions). We also give the convergence to classical derivatives for a regular class of functions when the order of the CF derivative tends to one, as well as some other useful properties.
Fil: Roscani, Sabrina Dina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Venturato, Lucas David. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
description In this article we prove existence and uniqueness of global solution to an initial value problem for a nonlinear fractional differential equation with a Caputo-Fabrizio (CF) derivative. We provide a new compact formula for the computation of the CF derivative to power functions (which is given in terms of Mittag-Leffler functions). We also give the convergence to classical derivatives for a regular class of functions when the order of the CF derivative tends to one, as well as some other useful properties.
publishDate 2019
dc.date.none.fl_str_mv 2019-04
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/11336/151866
Roscani, Sabrina Dina; Venturato, Lucas David; Tarzia, Domingo Alberto; Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivative; Natural Sciences Publishing; Progress in Fractional Differentiation and Applications; 5; 4; 4-2019; 269-281
2356-9336
2356-9344
CONICET Digital
CONICET
url http://hdl.handle.net/11336/151866
identifier_str_mv Roscani, Sabrina Dina; Venturato, Lucas David; Tarzia, Domingo Alberto; Global solution to a nonlinear fractional differential equation for the Caputo-Fabrizio derivative; Natural Sciences Publishing; Progress in Fractional Differentiation and Applications; 5; 4; 4-2019; 269-281
2356-9336
2356-9344
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://arxiv.org/abs/1809.02189
info:eu-repo/semantics/altIdentifier/url/https://dc.naturalspublishing.com/pfda/vol5/iss4/2/
info:eu-repo/semantics/altIdentifier/doi/10.18576/pfda/050403
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Natural Sciences Publishing
publisher.none.fl_str_mv Natural Sciences Publishing
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 12.982451

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