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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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Institución: | Universidad Nacional del Nordeste |
| Repositorio: | Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unne.edu.ar:123456789/9103 |
| Acceso en línea: | http://repositorio.unne.edu.ar/handle/123456789/9103 |
| Access Level: | acceso abierto |
| Palabra clave: | K-fractional calculus K-riemann-liouville fractional integral Matemáticas |
| 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. |
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