Three-parameter Mittag-Leffler function with an integral representation on the positive real axis

Eliana Contharteze Grigoletto, Rubens de Figueiredo Camargo, Edmundo Capelas de Oliveira

Resumo


In this paper, we use the methodology for evaluation of the inverse Laplace transform, proposed by M. N. Berberan-Santos, to show that the three-parameter Mittag-Leffler function has an integral representation on the positive real axis. Some of integrals are also presented.


Palavras-chave


Inverse Laplace transform, Mittag-Leffler functions, Integral representation, Fractional calculus.

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DOI: https://doi.org/10.5540/03.2018.006.02.0331

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