On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation

被引：0
作者：
Rubens Figueiredo Camargo
Edmundo Capelas de Oliveira
Jayme Vaz
机构：
[1] Faculdade de Ciências – UNESP,Departamento de Matemática
[2] IMECC – Unicamp,Departamento de Matemática Aplicada
来源：
Mathematical Physics, Analysis and Geometry | 2012年 / 15卷
关键词：
Fractional calculus; Mittag-Leffler functions; Integral transforms; -Fox function; 33E12; 35R11; 26A33; 34A08;
D O I：
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学科分类号：
摘要：
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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页码：1 / 16
页数：15
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