Integral Representations of Mittag-Leffler Function on the Positive Real Axis
We use the method for finding inverse Laplace transform without using integration on the complex plane to show that the three-parameter Mittag-Leffler function, which appear in many problems associated with fractional calculus, has similar integral representations on the positive real axis. Some of...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/212208 |
| Acceso en línea: | http://dx.doi.org/10.5540/tema.2019.020.02.0217 http://hdl.handle.net/11449/212208 |
| Access Level: | acceso abierto |
| Palabra clave: | inverse Laplace transform Mittag-Leffler functions integral representations fractional calculus transformada de Laplace inversa funções de Mittag-Leffler representações integrais cálculo fracionário |
| Sumario: | We use the method for finding inverse Laplace transform without using integration on the complex plane to show that the three-parameter Mittag-Leffler function, which appear in many problems associated with fractional calculus, has similar integral representations on the positive real axis. Some of them are presented. |
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