On q–Analogues of Caputo Derivative and Mittag–Leffler Function
| Data(s) |
29/08/2010
29/08/2010
2007
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|---|---|
| Resumo |
Mathematics Subject Classification: 33D60, 33E12, 26A33 Based on the fractional q–integral with the parametric lower limit of integration, we consider the fractional q–derivative of Caputo type. Especially, its applications to q-exponential functions allow us to introduce q–analogues of the Mittag–Leffler function. Vice versa, those functions can be used for defining generalized operators in fractional q–calculus. |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 10, No 4, (2007), 359p-373p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Mittag-Leffler Function #q–Integral #q–Derivative #Fractional Integral #Fractional Derivative #33D60 #33E12 #26A33 |
| Tipo |
Article |
