Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems

Bibliographic Details
Main Author: Almeida, Ricardo
Publication Date: 2017
Other Authors: Malinowska, Agnieszka B., Morgado, M. Luísa, Odzijewicz, Tatiana
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/16492
Summary: The fractional Sturm–Liouville eigenvalue problem appears in many situations, e.g., while solving anomalous diffusion equations coming from physical and engineering applications. Therefore to obtain solutions or approximation of solutions to this problem is of great importance. Here, we describe how the fractional Sturm–Liouville eigenvalue problem can be formulated as a constrained fractional variational principle and show how such formulation can be used in order to approximate the solutions. Numerical examples are given, to illustrate the method.
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spelling Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problemsFractional Sturm–Liouville problemFractional calculus of variationsDiscrete fractional calculusContinuous fractional calculusThe fractional Sturm–Liouville eigenvalue problem appears in many situations, e.g., while solving anomalous diffusion equations coming from physical and engineering applications. Therefore to obtain solutions or approximation of solutions to this problem is of great importance. Here, we describe how the fractional Sturm–Liouville eigenvalue problem can be formulated as a constrained fractional variational principle and show how such formulation can be used in order to approximate the solutions. Numerical examples are given, to illustrate the method.Mathematical Sciences Publishers20172017-01-01T00:00:00Z2018-12-26T17:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16492eng1559-395910.2140/jomms.2017.12-1Almeida, RicardoMalinowska, Agnieszka B.Morgado, M. LuísaOdzijewicz, Tatianainfo: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:RCAAP2024-05-06T03:58:36Zoai:ria.ua.pt:10773/16492Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:52:53.712049Repositórios 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 Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
title Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
spellingShingle Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
Almeida, Ricardo
Fractional Sturm–Liouville problem
Fractional calculus of variations
Discrete fractional calculus
Continuous fractional calculus
title_short Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
title_full Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
title_fullStr Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
title_full_unstemmed Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
title_sort Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
author Almeida, Ricardo
author_facet Almeida, Ricardo
Malinowska, Agnieszka B.
Morgado, M. Luísa
Odzijewicz, Tatiana
author_role author
author2 Malinowska, Agnieszka B.
Morgado, M. Luísa
Odzijewicz, Tatiana
author2_role author
author
author
dc.contributor.author.fl_str_mv Almeida, Ricardo
Malinowska, Agnieszka B.
Morgado, M. Luísa
Odzijewicz, Tatiana
dc.subject.por.fl_str_mv Fractional Sturm–Liouville problem
Fractional calculus of variations
Discrete fractional calculus
Continuous fractional calculus
topic Fractional Sturm–Liouville problem
Fractional calculus of variations
Discrete fractional calculus
Continuous fractional calculus
description The fractional Sturm–Liouville eigenvalue problem appears in many situations, e.g., while solving anomalous diffusion equations coming from physical and engineering applications. Therefore to obtain solutions or approximation of solutions to this problem is of great importance. Here, we describe how the fractional Sturm–Liouville eigenvalue problem can be formulated as a constrained fractional variational principle and show how such formulation can be used in order to approximate the solutions. Numerical examples are given, to illustrate the method.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
2018-12-26T17:00:00Z
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/10773/16492
url http://hdl.handle.net/10773/16492
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1559-3959
10.2140/jomms.2017.12-1
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 Mathematical Sciences Publishers
publisher.none.fl_str_mv Mathematical Sciences Publishers
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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