An alternative definition for the k-Riemann liouville fractional derivative

The aim of this paper is to introduce an alternative de nition 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-Riemann-Liouville fractional integral operator introduced by [5]. Its basic properties are discus...

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Detalles Bibliográficos
Autor: Dorrego, Gustavo Abel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Argentina
Institución:Universidad Nacional del Nordeste
Repositorio:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
Idioma:inglés
OAI Identifier:oai:repositorio.unne.edu.ar:123456789/9103
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/9103
Access Level:acceso abierto
Palabra clave:K-fractional calculus
K-riemann-liouville fractional integral
Matemáticas
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spelling An alternative definition for the k-Riemann liouville fractional derivativeDorrego, Gustavo AbelK-fractional calculusK-riemann-liouville fractional integralMatemáticasThe aim of this paper is to introduce an alternative de nition 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-Riemann-Liouville 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-Le er k-function introduced in is calculated.Fil: Dorrego, Gustavo Abel. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matemática; Argentina.Fil: Dorrego, Gustavo Abel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Nordeste; Argentina.Hikari Ltd2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfp. 481-491application/pdf1314-7552http://repositorio.unne.edu.ar/handle/123456789/9103Applied Mathematical Sciences, 2015, vol. 9, no 10, p. 481-491reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteenghttp://dx.doi.org/10.12988/ams.2015.411893Dorrego, Gustavo Abel, 2015. An Alternative Definition for the k-Riemann-Liouville Fractional Derivative. Applied Mathematical Sciences. Bulgaria: Hikari Ltd, vol. 9. no. 10, p. 481 - 491. ISSN 1314-7552.info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2024-05-10T11:51:48Zoai:repositorio.unne.edu.ar:123456789/9103instacron: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:48712024-05-10 11:51:48.756Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
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 Abel
K-fractional calculus
K-riemann-liouville fractional integral
Matemáticas
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 Abel
author Dorrego, Gustavo Abel
author_facet Dorrego, Gustavo Abel
author_role author
dc.subject.none.fl_str_mv K-fractional calculus
K-riemann-liouville fractional integral
Matemáticas
topic K-fractional calculus
K-riemann-liouville fractional integral
Matemáticas
description The aim of this paper is to introduce an alternative de nition 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-Riemann-Liouville 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-Le er k-function introduced in is calculated.
publishDate 2015
dc.date.none.fl_str_mv 2015
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 1314-7552
http://repositorio.unne.edu.ar/handle/123456789/9103
identifier_str_mv 1314-7552
url http://repositorio.unne.edu.ar/handle/123456789/9103
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://dx.doi.org/10.12988/ams.2015.411893
Dorrego, Gustavo Abel, 2015. An Alternative Definition for the k-Riemann-Liouville Fractional Derivative. Applied Mathematical Sciences. Bulgaria: Hikari Ltd, vol. 9. no. 10, p. 481 - 491. ISSN 1314-7552.
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. 481-491
application/pdf
dc.publisher.none.fl_str_mv Hikari Ltd
publisher.none.fl_str_mv Hikari Ltd
dc.source.none.fl_str_mv Applied Mathematical Sciences, 2015, vol. 9, no 10, p. 481-491
reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname:Universidad Nacional del Nordeste
instname_str 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)
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 15.812429

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