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Theorem for Series in Three-Parameter Mittag-Leffler Function

Soubhia, AnaCamargo, RubensOliveira, EdmundoVaz, Jayme — 2010

Fractional Calculus and Applied Analysis

Mathematics Subject Classification 2010: 26A33, 33E12. The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries. As an application, we obtain the solution of a fractional differential equation associated with a RLC electrical circuit in a closed form, in terms of the two-parameter Mittag-Leffler function.

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