Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator

Autores
Dorrego, Gustavo Abel
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
The paper introduces a new integral operator which generalizes the Prabhakar integral operator. The boundedness on the space of continuous functions and on the space of Lebesgue integrable functions on an interval is studied. In addition, the left inverse operator is constructed. The properties of composition with the k-Riemann-Liouville fractional operators are analized. Finally, as an application, a fractional generalization of the Cauchy problem associated with free electron laser equation is proposed.
Fuente
Progress in Fractional Differentiation and Applications An International Journal, vol. 2, no. 2, p. 131-140
Materia
Fractional integral operator
k-Gamma function
Riemann-Lioville fractional integral
k-Mittag-Leffler function
Riemann- Liouville fractional derivative
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
Institución
Universidad Nacional del Nordeste
OAI Identificador
oai:repositorio.unne.edu.ar:123456789/27698
Acceder
id RIUNNE_e7becdfd59208f31546dcdf9c4673b36
oai_identifier_str oai:repositorio.unne.edu.ar:123456789/27698
network_acronym_str RIUNNE
repository_id_str 4871
network_name_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
spelling Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operatorDorrego, Gustavo AbelFractional integral operatork-Gamma functionRiemann-Lioville fractional integralk-Mittag-Leffler functionRiemann- Liouville fractional derivativeFil: 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.The paper introduces a new integral operator which generalizes the Prabhakar integral operator. The boundedness on the space of continuous functions and on the space of Lebesgue integrable functions on an interval is studied. In addition, the left inverse operator is constructed. The properties of composition with the k-Riemann-Liouville fractional operators are analized. Finally, as an application, a fractional generalization of the Cauchy problem associated with free electron laser equation is proposed.Natural Sciences2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfDorrego, Gustavo Abel, 2016. Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator. Progress in fractional differentiation and applications an international journal, New York: Natural Sciences, vol. 2, no. 2, p. 131-140. ISSN 2356-9344.2356-9336http://repositorio.unne.edu.ar/handle/123456789/27698Progress in Fractional Differentiation and Applications An International Journal, vol. 2, no. 2, p. 131-140reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteenghttp://www.naturalspublishing.com/index.aspinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2025-09-18T10:49:09Zoai:repositorio.unne.edu.ar:123456789/27698instacron: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:48712025-09-18 10:49:09.599Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
dc.title.none.fl_str_mv Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
title Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
spellingShingle Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
Dorrego, Gustavo Abel
Fractional integral operator
k-Gamma function
Riemann-Lioville fractional integral
k-Mittag-Leffler function
Riemann- Liouville fractional derivative
title_short Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
title_full Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
title_fullStr Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
title_full_unstemmed Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
title_sort Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
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 Fractional integral operator
k-Gamma function
Riemann-Lioville fractional integral
k-Mittag-Leffler function
Riemann- Liouville fractional derivative
topic Fractional integral operator
k-Gamma function
Riemann-Lioville fractional integral
k-Mittag-Leffler function
Riemann- Liouville fractional derivative
dc.description.none.fl_txt_mv 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.
The paper introduces a new integral operator which generalizes the Prabhakar integral operator. The boundedness on the space of continuous functions and on the space of Lebesgue integrable functions on an interval is studied. In addition, the left inverse operator is constructed. The properties of composition with the k-Riemann-Liouville fractional operators are analized. Finally, as an application, a fractional generalization of the Cauchy problem associated with free electron laser equation is proposed.
description Fil: Dorrego, Gustavo Abel. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matemática; Argentina.
publishDate 2016
dc.date.none.fl_str_mv 2016
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 Dorrego, Gustavo Abel, 2016. Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator. Progress in fractional differentiation and applications an international journal, New York: Natural Sciences, vol. 2, no. 2, p. 131-140. ISSN 2356-9344.
2356-9336
http://repositorio.unne.edu.ar/handle/123456789/27698
identifier_str_mv Dorrego, Gustavo Abel, 2016. Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator. Progress in fractional differentiation and applications an international journal, New York: Natural Sciences, vol. 2, no. 2, p. 131-140. ISSN 2356-9344.
2356-9336
url http://repositorio.unne.edu.ar/handle/123456789/27698
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://www.naturalspublishing.com/index.asp
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
application/pdf
dc.publisher.none.fl_str_mv Natural Sciences
publisher.none.fl_str_mv Natural Sciences
dc.source.none.fl_str_mv Progress in Fractional Differentiation and Applications An International Journal, vol. 2, no. 2, p. 131-140
reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname: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)
instname_str Universidad Nacional del Nordeste
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 12.489739

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