An operational method to solve fractional differential equations

Detalhes bibliográficos
Autor(a) principal: Rodrigues, M. M.
Data de Publicação: 2014
Outros Autores: Vieira, N.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10773/18647
Resumo: In this paper, we present an operational method for solving two fractional equations, namely, the Legendre and the Laguerre equations. Based on operational approach for the Laplace and Mellin, we obtain a particular solution as a generalized power series for both equations, where the fractional derivatives are defined in the Riemann-Liouville sense. We prove the existence and uniqueness of solutions via Banach fix point theorem.
id RCAP_20710da355e9cc8a5b3c29dd46610062
oai_identifier_str oai:ria.ua.pt:10773/18647
network_acronym_str RCAP
network_name_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository_id_str https://opendoar.ac.uk/repository/7160
spelling An operational method to solve fractional differential equationsRiemann-Liouville and Caputo derivativesFractional differential equationsFractional Laguerre differential equationMellin and Laplace transformsIn this paper, we present an operational method for solving two fractional equations, namely, the Legendre and the Laguerre equations. Based on operational approach for the Laplace and Mellin, we obtain a particular solution as a generalized power series for both equations, where the fractional derivatives are defined in the Riemann-Liouville sense. We prove the existence and uniqueness of solutions via Banach fix point theorem.Seenith Sivasundaram2017-10-26T10:02:06Z2014-12-01T00:00:00Z2014-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/18647eng1551-761610.1063/1.4904690Rodrigues, M. M.Vieira, N.info: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:RCAAP2024-05-06T04:04:07Zoai:ria.ua.pt:10773/18647Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:56:17.010719Repositórios 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 An operational method to solve fractional differential equations
title An operational method to solve fractional differential equations
spellingShingle An operational method to solve fractional differential equations
Rodrigues, M. M.
Riemann-Liouville and Caputo derivatives
Fractional differential equations
Fractional Laguerre differential equation
Mellin and Laplace transforms
title_short An operational method to solve fractional differential equations
title_full An operational method to solve fractional differential equations
title_fullStr An operational method to solve fractional differential equations
title_full_unstemmed An operational method to solve fractional differential equations
title_sort An operational method to solve fractional differential equations
author Rodrigues, M. M.
author_facet Rodrigues, M. M.
Vieira, N.
author_role author
author2 Vieira, N.
author2_role author
dc.contributor.author.fl_str_mv Rodrigues, M. M.
Vieira, N.
dc.subject.por.fl_str_mv Riemann-Liouville and Caputo derivatives
Fractional differential equations
Fractional Laguerre differential equation
Mellin and Laplace transforms
topic Riemann-Liouville and Caputo derivatives
Fractional differential equations
Fractional Laguerre differential equation
Mellin and Laplace transforms
description In this paper, we present an operational method for solving two fractional equations, namely, the Legendre and the Laguerre equations. Based on operational approach for the Laplace and Mellin, we obtain a particular solution as a generalized power series for both equations, where the fractional derivatives are defined in the Riemann-Liouville sense. We prove the existence and uniqueness of solutions via Banach fix point theorem.
publishDate 2014
dc.date.none.fl_str_mv 2014-12-01T00:00:00Z
2014-12
2017-10-26T10:02:06Z
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/10773/18647
url http://hdl.handle.net/10773/18647
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1551-7616
10.1063/1.4904690
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 Seenith Sivasundaram
publisher.none.fl_str_mv Seenith Sivasundaram
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
instacron_str RCAAP
institution RCAAP
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
_version_ 1833594192105832448

Registros relacionados