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

@article{Camargo2012OnTG,
  title={On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation},
  author={R. F. Camargo and E. C. Oliveira and J. Vaz},
  journal={Mathematical Physics, Analysis and Geometry},
  year={2012},
  volume={15},
  pages={1-16}
}
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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