The Aboodh transform techniques to Ulam type stability of linear delay differential equation

Detalhes bibliográficos
Autor(a) principal: Selvam, A.
Data de Publicação: 2023
Outros Autores: Sabarinathan, S., Pinelas, Sandra
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/39817
Resumo: This paper mainly focuses on solving the Ulam–Hyers and Ulam–Hyers–JRassias stability problem of the linear delay differential equation using Aboodh transform technique. In addition, the results are extended to investigate the Mittag–Leffler–Ulam–Hyers and Mittag–Leffler–Ulam–Hyers–JRassias stability of this differential equation. Further, appropriate examples are illustrated to justify the efficiency of the obtained theoretical results.
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spelling The Aboodh transform techniques to Ulam type stability of linear delay differential equationAboodh transformLinear delay differential equationMittag–Leffler–Ulam–HyersMittag–Leffler–Ulam–Hyers–JRassias stabilityThis paper mainly focuses on solving the Ulam–Hyers and Ulam–Hyers–JRassias stability problem of the linear delay differential equation using Aboodh transform technique. In addition, the results are extended to investigate the Mittag–Leffler–Ulam–Hyers and Mittag–Leffler–Ulam–Hyers–JRassias stability of this differential equation. Further, appropriate examples are illustrated to justify the efficiency of the obtained theoretical results.Springer2023-12-15T10:33:12Z2023-01-01T00:00:00Z2023info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/39817eng2349-510310.1007/s40819-023-01577-5Selvam, A.Sabarinathan, S.Pinelas, Sandrainfo: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:RCAAP2024-02-22T12:17:13Zoai:ria.ua.pt:10773/39817Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:09:41.759247Repositório 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 The Aboodh transform techniques to Ulam type stability of linear delay differential equation
title The Aboodh transform techniques to Ulam type stability of linear delay differential equation
spellingShingle The Aboodh transform techniques to Ulam type stability of linear delay differential equation
Selvam, A.
Aboodh transform
Linear delay differential equation
Mittag–Leffler–Ulam–Hyers
Mittag–Leffler–Ulam–Hyers–JRassias stability
title_short The Aboodh transform techniques to Ulam type stability of linear delay differential equation
title_full The Aboodh transform techniques to Ulam type stability of linear delay differential equation
title_fullStr The Aboodh transform techniques to Ulam type stability of linear delay differential equation
title_full_unstemmed The Aboodh transform techniques to Ulam type stability of linear delay differential equation
title_sort The Aboodh transform techniques to Ulam type stability of linear delay differential equation
author Selvam, A.
author_facet Selvam, A.
Sabarinathan, S.
Pinelas, Sandra
author_role author
author2 Sabarinathan, S.
Pinelas, Sandra
author2_role author
author
dc.contributor.author.fl_str_mv Selvam, A.
Sabarinathan, S.
Pinelas, Sandra
dc.subject.por.fl_str_mv Aboodh transform
Linear delay differential equation
Mittag–Leffler–Ulam–Hyers
Mittag–Leffler–Ulam–Hyers–JRassias stability
topic Aboodh transform
Linear delay differential equation
Mittag–Leffler–Ulam–Hyers
Mittag–Leffler–Ulam–Hyers–JRassias stability
description This paper mainly focuses on solving the Ulam–Hyers and Ulam–Hyers–JRassias stability problem of the linear delay differential equation using Aboodh transform technique. In addition, the results are extended to investigate the Mittag–Leffler–Ulam–Hyers and Mittag–Leffler–Ulam–Hyers–JRassias stability of this differential equation. Further, appropriate examples are illustrated to justify the efficiency of the obtained theoretical results.
publishDate 2023
dc.date.none.fl_str_mv 2023-12-15T10:33:12Z
2023-01-01T00:00:00Z
2023
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/10773/39817
url http://hdl.handle.net/10773/39817
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2349-5103
10.1007/s40819-023-01577-5
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 Springer
publisher.none.fl_str_mv Springer
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
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