Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation

The newly constructed optimal perturbation iteration procedure with Laplace transform is applied to obtain the new approximate semi-analytical solutions of the fractional type of damped Burgers’ equation. The classical damped Burgers’ equation is remodeled to fractional differential form via the Ata...

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Autores: Deniz, Sinan, Konuralp, Ali, De la Sen Parte, Manuel
Formato: artículo
Fecha de publicación:2020
País:España
Recursos:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/45228
Acesso em linha:http://hdl.handle.net/10810/45228
Access Level:acceso abierto
Palavra-chave:damped Burgers
equation
Atangana–Baleanu derivative
optimal perturbation iteration method
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spelling Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ EquationDeniz, SinanKonuralp, AliDe la Sen Parte, Manueldamped BurgersequationAtangana–Baleanu derivativeoptimal perturbation iteration methodThe newly constructed optimal perturbation iteration procedure with Laplace transform is applied to obtain the new approximate semi-analytical solutions of the fractional type of damped Burgers’ equation. The classical damped Burgers’ equation is remodeled to fractional differential form via the Atangana–Baleanu fractional derivatives described with the help of the Mittag–Leffler function. To display the efficiency of the proposed optimal perturbation iteration technique, an extended example is deeply analyzed.This work was supported in part by the Basque Government, through project IT1207-19.MDPI2020202020202020info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/45228reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoIngléshttps://www.mdpi.com/2073-8994/12/6/958/htminfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/3.0/es/2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).oai:addi.ehu.eus:10810/452282026-06-18T09:23:17Z
dc.title.none.fl_str_mv Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation
title Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation
spellingShingle Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation
Deniz, Sinan
damped Burgers
equation
Atangana–Baleanu derivative
optimal perturbation iteration method
title_short Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation
title_full Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation
title_fullStr Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation
title_full_unstemmed Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation
title_sort Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation
dc.creator.none.fl_str_mv Deniz, Sinan
Konuralp, Ali
De la Sen Parte, Manuel
author Deniz, Sinan
author_facet Deniz, Sinan
Konuralp, Ali
De la Sen Parte, Manuel
author_role author
author2 Konuralp, Ali
De la Sen Parte, Manuel
author2_role author
author
dc.subject.none.fl_str_mv damped Burgers
equation
Atangana–Baleanu derivative
optimal perturbation iteration method
topic damped Burgers
equation
Atangana–Baleanu derivative
optimal perturbation iteration method
description The newly constructed optimal perturbation iteration procedure with Laplace transform is applied to obtain the new approximate semi-analytical solutions of the fractional type of damped Burgers’ equation. The classical damped Burgers’ equation is remodeled to fractional differential form via the Atangana–Baleanu fractional derivatives described with the help of the Mittag–Leffler function. To display the efficiency of the proposed optimal perturbation iteration technique, an extended example is deeply analyzed.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/45228
url http://hdl.handle.net/10810/45228
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.mdpi.com/2073-8994/12/6/958/htm
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/3.0/es/
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:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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