An alternative definition for the k-Riemann-Liouville fractional derivative

Autores
Dorrego, Gustavo
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The aim of this paper is to introduce an alternative definition for the k-Riemann-Liouville fractional derivative given in [6] and whose advantage is that it is the left inverse of the corresponding of k-RiemannLiouville fractional integral operator introduced by [5]. Its basic properties are discussed, their Laplace transform, the derivative of the potential function and the derivative of the Mittag-Leffler k-function introduced in [2] is calculated.
Fil: Dorrego, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Nordeste; Argentina
Materia
K-FRACTIONAL CALCULUS
K-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/31536
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling An alternative definition for the k-Riemann-Liouville fractional derivativeDorrego, GustavoK-FRACTIONAL CALCULUSK-RIEMANN-LIOUVILLE FRACTIONAL INTEGRALhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The aim of this paper is to introduce an alternative definition for the k-Riemann-Liouville fractional derivative given in [6] and whose advantage is that it is the left inverse of the corresponding of k-RiemannLiouville fractional integral operator introduced by [5]. Its basic properties are discussed, their Laplace transform, the derivative of the potential function and the derivative of the Mittag-Leffler k-function introduced in [2] is calculated.Fil: Dorrego, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Nordeste; ArgentinaHikari Ltd.2015-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/31536An alternative definition for the k-Riemann-Liouville fractional derivative; Hikari Ltd.; Applied Mathematical Sciences; 9; 10; 1-2015; 481-4911312-885X1314-7552CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.m-hikari.com/ams/ams-2015/ams-9-12-2015/dorregoAMS9-12-2015.pdfinfo:eu-repo/semantics/altIdentifier/doi/10.12988/ams.2015.411893info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:33:40Zoai:ri.conicet.gov.ar:11336/31536instacron: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 10:33:40.884CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An alternative definition for the k-Riemann-Liouville fractional derivative
title An alternative definition for the k-Riemann-Liouville fractional derivative
spellingShingle An alternative definition for the k-Riemann-Liouville fractional derivative
Dorrego, Gustavo
K-FRACTIONAL CALCULUS
K-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL
title_short An alternative definition for the k-Riemann-Liouville fractional derivative
title_full An alternative definition for the k-Riemann-Liouville fractional derivative
title_fullStr An alternative definition for the k-Riemann-Liouville fractional derivative
title_full_unstemmed An alternative definition for the k-Riemann-Liouville fractional derivative
title_sort An alternative definition for the k-Riemann-Liouville fractional derivative
dc.creator.none.fl_str_mv Dorrego, Gustavo
author Dorrego, Gustavo
author_facet Dorrego, Gustavo
author_role author
dc.subject.none.fl_str_mv K-FRACTIONAL CALCULUS
K-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL
topic K-FRACTIONAL CALCULUS
K-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The aim of this paper is to introduce an alternative definition for the k-Riemann-Liouville fractional derivative given in [6] and whose advantage is that it is the left inverse of the corresponding of k-RiemannLiouville fractional integral operator introduced by [5]. Its basic properties are discussed, their Laplace transform, the derivative of the potential function and the derivative of the Mittag-Leffler k-function introduced in [2] is calculated.
Fil: Dorrego, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Nordeste; Argentina
description The aim of this paper is to introduce an alternative definition for the k-Riemann-Liouville fractional derivative given in [6] and whose advantage is that it is the left inverse of the corresponding of k-RiemannLiouville fractional integral operator introduced by [5]. Its basic properties are discussed, their Laplace transform, the derivative of the potential function and the derivative of the Mittag-Leffler k-function introduced in [2] is calculated.
publishDate 2015
dc.date.none.fl_str_mv 2015-01
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/11336/31536
An alternative definition for the k-Riemann-Liouville fractional derivative; Hikari Ltd.; Applied Mathematical Sciences; 9; 10; 1-2015; 481-491
1312-885X
1314-7552
CONICET Digital
CONICET
url http://hdl.handle.net/11336/31536
identifier_str_mv An alternative definition for the k-Riemann-Liouville fractional derivative; Hikari Ltd.; Applied Mathematical Sciences; 9; 10; 1-2015; 481-491
1312-885X
1314-7552
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.m-hikari.com/ams/ams-2015/ams-9-12-2015/dorregoAMS9-12-2015.pdf
info:eu-repo/semantics/altIdentifier/doi/10.12988/ams.2015.411893
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Hikari Ltd.
publisher.none.fl_str_mv Hikari Ltd.
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 13.070432

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