Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations

Detalhes bibliográficos
Autor(a) principal: Mohammed, Pshtiwan Othman
Data de Publicação: 2021
Outros Autores: Machado, J. A. Tenreiro, Guirao, Juan L. G., Agarwal, Ravi P.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/18649
Resumo: Nonlinear fractional differential equations reflect the true nature of physical and biological models with non-locality and memory effects. This paper considers nonlinear fractional differential equations with unknown analytical solutions. The Adomian decomposition and the fractional power series methods are adopted to approximate the solutions. The two approaches are illustrated and compared by means of four numerical examples.
id RCAP_add554a5f042111dfa277f5395eb4d7f
oai_identifier_str oai:recipp.ipp.pt:10400.22/18649
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential EquationsAdomian decomposition methodFractional power series methodNonlinear fractional differential equationsNonlinear fractional differential equations reflect the true nature of physical and biological models with non-locality and memory effects. This paper considers nonlinear fractional differential equations with unknown analytical solutions. The Adomian decomposition and the fractional power series methods are adopted to approximate the solutions. The two approaches are illustrated and compared by means of four numerical examples.MDPIRepositório Científico do Instituto Politécnico do PortoMohammed, Pshtiwan OthmanMachado, J. A. TenreiroGuirao, Juan L. G.Agarwal, Ravi P.2021-10-01T14:43:32Z20212021-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/18649eng10.3390/math9091070info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-13T13:10:48Zoai:recipp.ipp.pt:10400.22/18649Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:38:12.197315Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations
title Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations
spellingShingle Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations
Mohammed, Pshtiwan Othman
Adomian decomposition method
Fractional power series method
Nonlinear fractional differential equations
title_short Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations
title_full Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations
title_fullStr Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations
title_full_unstemmed Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations
title_sort Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations
author Mohammed, Pshtiwan Othman
author_facet Mohammed, Pshtiwan Othman
Machado, J. A. Tenreiro
Guirao, Juan L. G.
Agarwal, Ravi P.
author_role author
author2 Machado, J. A. Tenreiro
Guirao, Juan L. G.
Agarwal, Ravi P.
author2_role author
author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Mohammed, Pshtiwan Othman
Machado, J. A. Tenreiro
Guirao, Juan L. G.
Agarwal, Ravi P.
dc.subject.por.fl_str_mv Adomian decomposition method
Fractional power series method
Nonlinear fractional differential equations
topic Adomian decomposition method
Fractional power series method
Nonlinear fractional differential equations
description Nonlinear fractional differential equations reflect the true nature of physical and biological models with non-locality and memory effects. This paper considers nonlinear fractional differential equations with unknown analytical solutions. The Adomian decomposition and the fractional power series methods are adopted to approximate the solutions. The two approaches are illustrated and compared by means of four numerical examples.
publishDate 2021
dc.date.none.fl_str_mv 2021-10-01T14:43:32Z
2021
2021-01-01T00:00:00Z
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/10400.22/18649
url http://hdl.handle.net/10400.22/18649
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3390/math9091070
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 MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799131471794929664

Registros relacionados