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On the numerical computation of the Mittag-Leffler function

Bibliographic Details
Main Author: Valério, Duarte
Publication Date: 2014
Other Authors: Machado, J. A. Tenreiro
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.22/5492
Summary: Recently 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.
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spelling On the numerical computation of the Mittag-Leffler functionMittag-Leffler functionFractional CalculusFractional controlRecently 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.ElsevierREPOSITÓRIO P.PORTOValério, DuarteMachado, J. A. Tenreiro2015-01-28T12:19:53Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/5492eng1007-570410.1016/j.cnsns.2014.03.014info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-02T03:17:34Zoai:recipp.ipp.pt:10400.22/5492Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T00:50:05.704730Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv On the numerical computation of the Mittag-Leffler function
title On the numerical computation of the Mittag-Leffler function
spellingShingle On the numerical computation of the Mittag-Leffler function
Valério, Duarte
Mittag-Leffler function
Fractional Calculus
Fractional control
title_short On the numerical computation of the Mittag-Leffler function
title_full On the numerical computation of the Mittag-Leffler function
title_fullStr On the numerical computation of the Mittag-Leffler function
title_full_unstemmed On the numerical computation of the Mittag-Leffler function
title_sort On the numerical computation of the Mittag-Leffler function
author Valério, Duarte
author_facet Valério, Duarte
Machado, J. A. Tenreiro
author_role author
author2 Machado, J. A. Tenreiro
author2_role author
dc.contributor.none.fl_str_mv REPOSITÓRIO P.PORTO
dc.contributor.author.fl_str_mv Valério, Duarte
Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv Mittag-Leffler function
Fractional Calculus
Fractional control
topic Mittag-Leffler function
Fractional Calculus
Fractional control
description Recently 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.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
2015-01-28T12:19:53Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/5492
url http://hdl.handle.net/10400.22/5492
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1007-5704
10.1016/j.cnsns.2014.03.014
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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