An alternative definition for the k-Riemann-Liouville fractional derivative
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 discus...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/31536 |
| Acceso en línea: | http://hdl.handle.net/11336/31536 |
| Access Level: | acceso abierto |
| Palabra clave: | K-FRACTIONAL CALCULUS K-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | 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. |
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