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For the particular cases having Laplace transform (LT) the method relies on the inversion of the LT using the fast Fourier transform. Experiments with two other available methods compare also the computational time and accuracy. The 3-parameter MLF and its calculation are also considered.<\/jats:p>","DOI":"10.1515\/ijnsns-2018-0358","type":"journal-article","created":{"date-parts":[[2019,7,12]],"date-time":"2019-07-12T09:06:56Z","timestamp":1562922416000},"page":"725-736","source":"Crossref","is-referenced-by-count":23,"title":["On the Numerical Computation of the Mittag\u2013Leffler Function"],"prefix":"10.1515","volume":"20","author":[{"given":"Manuel D.","family":"Ortigueira","sequence":"first","affiliation":[{"name":"Center for Technology and Systems \u2013 UNINOVA and DEE , NOVA School of Science and Technology of NOVA University of Lisbon , Porto , Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4274-4879","authenticated-orcid":false,"given":"Ant\u00f3nio M.","family":"Lopes","sequence":"additional","affiliation":[{"name":"Faculty of Engineering , University of Porto , Rua Dr. Roberto Frias , Porto 4200\u2013465 , Portugal"}]},{"given":"Jos\u00e9","family":"Tenreiro Machado","sequence":"additional","affiliation":[{"name":"Dept. of Electrical Engineering , Institute of Engineering, Polytechnic of Porto , Rua Dr. Antonio Bernardino de Almeida, 431 , Porto 4249-015 , Portugal"}]}],"member":"374","published-online":{"date-parts":[[2019,7,12]]},"reference":[{"key":"2023033122473767139_j_ijnsns-2018-0358_ref_001_w2aab3b7b8b1b6b1ab1b6b1Aa","unstructured":"R. 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