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On the numerical computation of the Mittag-Leffler function

dc.contributor.authorValério, Duarte
dc.contributor.authorMachado, J. A. Tenreiro
dc.date.accessioned2015-11-18T17:29:21Z
dc.date.available2015-11-18T17:29:21Z
dc.date.issued2014
dc.description.abstractRecently simple limiting functions establishing upper and lower bounds on the Mittag-Leffler function were found. This paper follows those expressions to design an efficient algorithm for the approximate calculation of expressions usual in fractional-order control systems. The numerical experiments demonstrate the superior efficiency of the proposed method.pt_PT
dc.identifier.doi10.1016/j.cnsns.2014.03.014pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/6924
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.relation.ispartofseriesCommunications in Nonlinear Science and Numerical Simulation;Vol. 19, Issue 10
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S1007570414001397pt_PT
dc.subjectMittag-Leffler functionpt_PT
dc.subjectFractional Calculuspt_PT
dc.subjectFractional controlpt_PT
dc.titleOn the numerical computation of the Mittag-Leffler functionpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage3424pt_PT
oaire.citation.startPage3419pt_PT
oaire.citation.titleCommunications in Nonlinear Science and Numerical Simulationpt_PT
oaire.citation.volume19pt_PT
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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