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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/151866
Ver los metadatos del registro completo
id |
CONICETDig_42c4d6b73364fae805aa3c5ae2d9df04 |
---|---|
oai_identifier_str |
oai:ri.conicet.gov.ar:11336/151866 |
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 Técnicas2025-09-29T09:38:31Zoai: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:34982025-09-29 09:38:31.277CONICET 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 |
_version_ |
1844613217326727168 |
score |
13.070432 |