Theorem for series in three-parameter mittag-leffler function

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Data

2010

Autores

Soubhia, Ana Luisa
Camargo, Rubens de Figueiredo [UNESP]
Oliveira, Edmundo Capelas de
Vaz Júnior, Jayme

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Resumo

The new result presented here is a theorem involving series in the three-parameter Mittag-Le er function. As a by-product, we recover some known results and discuss corollaries. As an application, we obtain the solution of a fractional di erential equation associated with a RLC electrical circuit in a closed form, in terms of the two-parameter Mittag-Le er function.

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Fractional calculus, Mittag-leffler functions, Addition theorems, RLC fractional electrical circuit

Como citar

Fractional Calculus and Applied Analysis, v. 13, n. 1, p. 9-20, 2010.