Cálculo fraccional
Palabras clave:
Cálculo fraccional, Derivada fraccional de Riemann-Liouville, Derivada fraccional de Caputo, funciones de Mittag-LefflerResumen
Este artículo presenta algunos conceptos fundamentales del cálculo fraccional. Se parte de una revisión de los aspectos históricos relevantes y se establece las principales definiciones de derivada fraccional y sus propiedades. También se realiza una descripci´on de herramientas de uso frecuente en cálculo fraccional como la función gamma, la función de Mittag-Leffler, la derivada fraccional de Riemann-Liouville y la derivada fraccional de Caputo. Además se incluyen las transformadas de Laplace de algunas funciones y de las derivadas fraccionales, que son útiles en la solución de ecuaciones diferenciales fraccionales.Descargas
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