A generalization of the kinetic equation using the prabhakar-type operators

Fractional kinetic equations are investigated in order to describe the various phenomena governed by anomalous reaction in dynamical systems with chaotic motion. Many authors have pro- vided solutions of various families of fractional kinetic equations involving special functions. Here, in this...

Descripción completa

Detalles Bibliográficos
Autores principales: Dorrego, Gustavo Abel, Kumar, Dinesh
Formato: Artículo
Lenguaje:Inglés
Publicado: Honam Mathematical Society 2020
Materias:
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/9106
Aporte de:
id I48-R184-123456789-9106
record_format dspace
spelling I48-R184-123456789-91062025-03-06T11:01:03Z A generalization of the kinetic equation using the prabhakar-type operators Dorrego, Gustavo Abel Kumar, Dinesh Fractional differential equation Generalized fractional integral operators Laplace transform Sumudu transform Fractional kinetic equations are investigated in order to describe the various phenomena governed by anomalous reaction in dynamical systems with chaotic motion. Many authors have pro- vided solutions of various families of fractional kinetic equations involving special functions. Here, in this paper, we aim at present- ing solutions of certain general families of fractional kinetic equa- tions using Prabhakar-type operators. The idea of present paper is motivated by Tomovski et al. 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. Fil: Kumar, Dinesh. University Jai Narain Vyas. Department of Mathematics & Statistics; India. 2020-06-02T22:47:55Z 2020-06-02T22:47:55Z 2017 Artículo Dorrego, Gustavo Abel y Kumar, Dinesh, 2017. A generalization of the kinetic equation using the prabhakar-type operators. Honam Mathematical Journal. Corea del Sur, Daedeok: Korea Science, vol. 39, no. 3, p. 401-416. ISSN 2288-6176. 2288-6176 http://repositorio.unne.edu.ar/handle/123456789/9106 eng https://doi.org/10.5831/HMJ.2017.39.3.401 openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 401-416 application/pdf Honam Mathematical Society Honam Mathematical Journal, 2017, vol. 39, no. 3, p. 401-416.
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 differential equation
Generalized fractional integral operators
Laplace transform
Sumudu transform
spellingShingle Fractional differential equation
Generalized fractional integral operators
Laplace transform
Sumudu transform
Dorrego, Gustavo Abel
Kumar, Dinesh
A generalization of the kinetic equation using the prabhakar-type operators
topic_facet Fractional differential equation
Generalized fractional integral operators
Laplace transform
Sumudu transform
description Fractional kinetic equations are investigated in order to describe the various phenomena governed by anomalous reaction in dynamical systems with chaotic motion. Many authors have pro- vided solutions of various families of fractional kinetic equations involving special functions. Here, in this paper, we aim at present- ing solutions of certain general families of fractional kinetic equa- tions using Prabhakar-type operators. The idea of present paper is motivated by Tomovski et al.
format Artículo
author Dorrego, Gustavo Abel
Kumar, Dinesh
author_facet Dorrego, Gustavo Abel
Kumar, Dinesh
author_sort Dorrego, Gustavo Abel
title A generalization of the kinetic equation using the prabhakar-type operators
title_short A generalization of the kinetic equation using the prabhakar-type operators
title_full A generalization of the kinetic equation using the prabhakar-type operators
title_fullStr A generalization of the kinetic equation using the prabhakar-type operators
title_full_unstemmed A generalization of the kinetic equation using the prabhakar-type operators
title_sort generalization of the kinetic equation using the prabhakar-type operators
publisher Honam Mathematical Society
publishDate 2020
url http://repositorio.unne.edu.ar/handle/123456789/9106
work_keys_str_mv AT dorregogustavoabel ageneralizationofthekineticequationusingtheprabhakartypeoperators
AT kumardinesh ageneralizationofthekineticequationusingtheprabhakartypeoperators
AT dorregogustavoabel generalizationofthekineticequationusingtheprabhakartypeoperators
AT kumardinesh generalizationofthekineticequationusingtheprabhakartypeoperators
_version_ 1832344899479928832