On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation
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Data
2012-03-01
Autores
Camargo, Rubens de Figueiredo [UNESP]
de Oliveira, Edmundo Capelas
Vaz, Jayme
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Editor
Springer
Resumo
The classical Mittag-Leffler functions, involving one- and two-parameter, play an important role in the study of fractional-order differential (and integral) equations. The so-called generalized Mittag-Leffler function, a function with three-parameter which generalizes the classical ones, appear in the fractional telegraph equation. Here we introduce some integral transforms associated with this generalized Mittag-Leffler function. As particular cases some recent results are recovered.
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Fractional calculus, Mittag-Leffler functions, Integral transforms, H-Fox function
Como citar
Mathematical Physics Analysis and Geometry. Dordrecht: Springer, v. 15, n. 1, p. 1-16, 2012.