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

Authors

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

DOI:

https://doi.org/10.5540/03.2018.006.02.0331

Keywords:

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

Abstract

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.

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Published

2018-12-19

Issue

Vol. 6 No. 2 (2018): CNMAC 2018

Section

Trabalhos Completos