Integral Representations of Mittag-Leffler Function on the Positive Real Axis
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512019000200217 |
Resumo: | ABSTRACT We use the method for finding inverse Laplace transform without using integration on the complex plane to show that the three-parameter Mittag-Leffler function, which appear in many problems associated with fractional calculus, has similar integral representations on the positive real axis. Some of them are presented. |
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TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
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Integral Representations of Mittag-Leffler Function on the Positive Real Axisinverse Laplace transformMittag-Leffler functionsintegral representationsfractional calculusABSTRACT We use the method for finding inverse Laplace transform without using integration on the complex plane to show that the three-parameter Mittag-Leffler function, which appear in many problems associated with fractional calculus, has similar integral representations on the positive real axis. Some of them are presented.Sociedade Brasileira de Matemática Aplicada e Computacional2019-08-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512019000200217TEMA (São Carlos) v.20 n.2 2019reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/tema.2019.020.02.0217info:eu-repo/semantics/openAccessGRIGOLETTO,E.C.OLIVEIRA,E.C.CAMARGO,R.F.eng2019-09-12T00:00:00Zoai:scielo:S2179-84512019000200217Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2019-09-12T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse |
dc.title.none.fl_str_mv |
Integral Representations of Mittag-Leffler Function on the Positive Real Axis |
title |
Integral Representations of Mittag-Leffler Function on the Positive Real Axis |
spellingShingle |
Integral Representations of Mittag-Leffler Function on the Positive Real Axis GRIGOLETTO,E.C. inverse Laplace transform Mittag-Leffler functions integral representations fractional calculus |
title_short |
Integral Representations of Mittag-Leffler Function on the Positive Real Axis |
title_full |
Integral Representations of Mittag-Leffler Function on the Positive Real Axis |
title_fullStr |
Integral Representations of Mittag-Leffler Function on the Positive Real Axis |
title_full_unstemmed |
Integral Representations of Mittag-Leffler Function on the Positive Real Axis |
title_sort |
Integral Representations of Mittag-Leffler Function on the Positive Real Axis |
author |
GRIGOLETTO,E.C. |
author_facet |
GRIGOLETTO,E.C. OLIVEIRA,E.C. CAMARGO,R.F. |
author_role |
author |
author2 |
OLIVEIRA,E.C. CAMARGO,R.F. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
GRIGOLETTO,E.C. OLIVEIRA,E.C. CAMARGO,R.F. |
dc.subject.por.fl_str_mv |
inverse Laplace transform Mittag-Leffler functions integral representations fractional calculus |
topic |
inverse Laplace transform Mittag-Leffler functions integral representations fractional calculus |
description |
ABSTRACT We use the method for finding inverse Laplace transform without using integration on the complex plane to show that the three-parameter Mittag-Leffler function, which appear in many problems associated with fractional calculus, has similar integral representations on the positive real axis. Some of them are presented. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-08-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512019000200217 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512019000200217 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.5540/tema.2019.020.02.0217 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
dc.source.none.fl_str_mv |
TEMA (São Carlos) v.20 n.2 2019 reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) instname:Sociedade Brasileira de Matemática Aplicada e Computacional instacron:SBMAC |
instname_str |
Sociedade Brasileira de Matemática Aplicada e Computacional |
instacron_str |
SBMAC |
institution |
SBMAC |
reponame_str |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
collection |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
repository.name.fl_str_mv |
TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacional |
repository.mail.fl_str_mv |
castelo@icmc.usp.br |
_version_ |
1752122220571787264 |