Artículo

An alternative definition for the k-Riemann-Liouville fractional derivative

Dorrego, GustavoIcon
Fecha de publicación: 01/2015
Editorial: Hikari Ltd.
Revista: Applied Mathematical Sciences
ISSN: 1312-885X
e-ISSN: 1314-7552
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

The aim of this paper is to introduce an alternative definition 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-RiemannLiouville 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-Leffler k-function introduced in [2] is calculated.
Palabras clave: K-Fractional Calculus , K-Riemann-Liouville Fractional Integral
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution 2.5 Unported (CC BY 2.5)
Identificadores
URI: http://hdl.handle.net/11336/31536
URL: http://www.m-hikari.com/ams/ams-2015/ams-9-12-2015/dorregoAMS9-12-2015.pdf
DOI: http://dx.doi.org/10.12988/ams.2015.411893
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Articulos(CCT - NORDESTE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - NORDESTE
Citación
An alternative definition for the k-Riemann-Liouville fractional derivative; Hikari Ltd.; Applied Mathematical Sciences; 9; 10; 1-2015; 481-491
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