Fractional Derivatives in Spaces of Generalized Functions
| Data(s) |
14/06/2012
14/06/2012
2011
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|---|---|
| Resumo |
MSC 2010: 26A33, 46Fxx, 58C05 Dedicated to 80-th birthday of Prof. Rudolf Gorenflo We generalize the two forms of the fractional derivatives (in Riemann-Liouville and Caputo sense) to spaces of generalized functions using appropriate techniques such as the multiplication of absolutely continuous function by the Heaviside function, and the analytical continuation. As an application, we give the two forms of the fractional derivatives of discontinuous functions in spaces of distributions. |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 14, No 1, (2011), 125p-137p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Fractional Derivatives #Spaces of Generalized Functions #Fractional Derivatives of Discontinuous Function #Analytical Continuation |
| Tipo |
Article |
