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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Autor principal: Dorrego, Gustavo Abel
Formato: Artículo
Lenguaje:Inglés
Publicado: Hikari Ltd 2020
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Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/9103
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Sumario: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.