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

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...

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Autor principal: Dorrego, Gustavo Abel
Formato: Artículo
Lenguaje:Inglés
Publicado: Natural Sciences 2021
Materias:
Fractional integral operator
k-Gamma function
Riemann-Lioville fractional integral
k-Mittag-Leffler function
Riemann- Liouville fractional derivative
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/27698
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-27698
record_format dspace
spelling I48-R184-123456789-276982025-03-06T10:59:32Z 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 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. 2021-03-19T15:45:46Z 2021-03-19T15:45:46Z 2016 Artículo 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 eng http://www.naturalspublishing.com/index.asp openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf application/pdf Natural Sciences Progress in Fractional Differentiation and Applications An International Journal, vol. 2, no. 2, p. 131-140
institution Universidad Nacional del Nordeste
institution_str I-48
repository_str R-184
collection RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
language Inglés
topic Fractional integral operator
k-Gamma function
Riemann-Lioville fractional integral
k-Mittag-Leffler function
Riemann- Liouville fractional derivative
spellingShingle Fractional integral operator
k-Gamma function
Riemann-Lioville fractional integral
k-Mittag-Leffler function
Riemann- Liouville fractional derivative
Dorrego, Gustavo Abel
Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
topic_facet Fractional integral operator
k-Gamma function
Riemann-Lioville fractional integral
k-Mittag-Leffler function
Riemann- Liouville fractional derivative
description 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.
format Artículo
author Dorrego, Gustavo Abel
author_facet Dorrego, Gustavo Abel
author_sort Dorrego, Gustavo Abel
title Generalized riemann-liouville fractional operators associated with a generalization of the prabhakar integral operator
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
publisher Natural Sciences
publishDate 2021
url http://repositorio.unne.edu.ar/handle/123456789/27698
work_keys_str_mv AT dorregogustavoabel generalizedriemannliouvillefractionaloperatorsassociatedwithageneralizationoftheprabhakarintegraloperator
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