Numerical solution for fractional variational problems using the Jacobi polynomials

Bibliographic Details
Main Author: Khosravian-Arab, Hassan
Publication Date: 2015
Other Authors: Almeida, Ricardo
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/15015
Summary: We exhibit a numerical method to solve fractional variational problems, applying a decomposition formula based on Jacobi polynomials. Formulas for the fractional derivative and fractional integral of the Jacobi polynomials are proven. By some examples, we show the convergence of such procedure, comparing the exact solution with numerical approximations.
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spelling Numerical solution for fractional variational problems using the Jacobi polynomialsJacobi polynomialsCalculus of variationsFractional calculusFractional Leitmann principleWe exhibit a numerical method to solve fractional variational problems, applying a decomposition formula based on Jacobi polynomials. Formulas for the fractional derivative and fractional integral of the Jacobi polynomials are proven. By some examples, we show the convergence of such procedure, comparing the exact solution with numerical approximations.Elsevier2018-07-20T14:00:51Z2015-11-01T00:00:00Z2015-11-012016-10-31T15:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15015eng0307-904X10.1016/j.apm.2015.01.060Khosravian-Arab, HassanAlmeida, Ricardoinfo: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:RCAAP2024-05-06T03:55:55Zoai:ria.ua.pt:10773/15015Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:51:23.573683Repositórios 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 Numerical solution for fractional variational problems using the Jacobi polynomials
title Numerical solution for fractional variational problems using the Jacobi polynomials
spellingShingle Numerical solution for fractional variational problems using the Jacobi polynomials
Khosravian-Arab, Hassan
Jacobi polynomials
Calculus of variations
Fractional calculus
Fractional Leitmann principle
title_short Numerical solution for fractional variational problems using the Jacobi polynomials
title_full Numerical solution for fractional variational problems using the Jacobi polynomials
title_fullStr Numerical solution for fractional variational problems using the Jacobi polynomials
title_full_unstemmed Numerical solution for fractional variational problems using the Jacobi polynomials
title_sort Numerical solution for fractional variational problems using the Jacobi polynomials
author Khosravian-Arab, Hassan
author_facet Khosravian-Arab, Hassan
Almeida, Ricardo
author_role author
author2 Almeida, Ricardo
author2_role author
dc.contributor.author.fl_str_mv Khosravian-Arab, Hassan
Almeida, Ricardo
dc.subject.por.fl_str_mv Jacobi polynomials
Calculus of variations
Fractional calculus
Fractional Leitmann principle
topic Jacobi polynomials
Calculus of variations
Fractional calculus
Fractional Leitmann principle
description We exhibit a numerical method to solve fractional variational problems, applying a decomposition formula based on Jacobi polynomials. Formulas for the fractional derivative and fractional integral of the Jacobi polynomials are proven. By some examples, we show the convergence of such procedure, comparing the exact solution with numerical approximations.
publishDate 2015
dc.date.none.fl_str_mv 2015-11-01T00:00:00Z
2015-11-01
2016-10-31T15:00:00Z
2018-07-20T14:00:51Z
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/10773/15015
url http://hdl.handle.net/10773/15015
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0307-904X
10.1016/j.apm.2015.01.060
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
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
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