Fixed point approach to the Mittag-Leffler kernel-related fractional differential equations

The goal of this paper is to present a new class of contraction mappings, so-called -contractions. Also, in the context of partially ordered metric spaces, some coupled fixed-point results for -contraction mappings are introduced. Furthermore, to support our results, two examples are provided. Final...

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Autores: Hammad, Hasanen A., Işık, Hüseyin, Aydi, Hassen, De la Sen Parte, Manuel
Formato: artículo
Fecha de publicación:2023
País:España
Recursos:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/60896
Acesso em linha:http://hdl.handle.net/10810/60896
Access Level:acceso abierto
Palavra-chave:fractional differential equation
Atangana-Baleanu fractional operator
fixed point methodology
Riemann-Liouville fractional integral
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spelling Fixed point approach to the Mittag-Leffler kernel-related fractional differential equationsHammad, Hasanen A.Işık, HüseyinAydi, HassenDe la Sen Parte, Manuelfractional differential equationAtangana-Baleanu fractional operatorfixed point methodologyRiemann-Liouville fractional integralThe goal of this paper is to present a new class of contraction mappings, so-called -contractions. Also, in the context of partially ordered metric spaces, some coupled fixed-point results for -contraction mappings are introduced. Furthermore, to support our results, two examples are provided. Finally, the theoretical results are applied to obtain the existence of solutions to coupled fractional differential equations with a Mittag-Leffler kernel.This work was supported in part by the Basque Government under Grant IT1555-22.AIMS Press202320232023info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/60896reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoIngléshttp://www.aimspress.com/article/doi/10.3934/math.2023433info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/3.0/es/© 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)Atribución 3.0 Españaoai:addi.ehu.eus:10810/608962026-06-18T09:23:17Z
dc.title.none.fl_str_mv Fixed point approach to the Mittag-Leffler kernel-related fractional differential equations
title Fixed point approach to the Mittag-Leffler kernel-related fractional differential equations
spellingShingle Fixed point approach to the Mittag-Leffler kernel-related fractional differential equations
Hammad, Hasanen A.
fractional differential equation
Atangana-Baleanu fractional operator
fixed point methodology
Riemann-Liouville fractional integral
title_short Fixed point approach to the Mittag-Leffler kernel-related fractional differential equations
title_full Fixed point approach to the Mittag-Leffler kernel-related fractional differential equations
title_fullStr Fixed point approach to the Mittag-Leffler kernel-related fractional differential equations
title_full_unstemmed Fixed point approach to the Mittag-Leffler kernel-related fractional differential equations
title_sort Fixed point approach to the Mittag-Leffler kernel-related fractional differential equations
dc.creator.none.fl_str_mv Hammad, Hasanen A.
Işık, Hüseyin
Aydi, Hassen
De la Sen Parte, Manuel
author Hammad, Hasanen A.
author_facet Hammad, Hasanen A.
Işık, Hüseyin
Aydi, Hassen
De la Sen Parte, Manuel
author_role author
author2 Işık, Hüseyin
Aydi, Hassen
De la Sen Parte, Manuel
author2_role author
author
author
dc.subject.none.fl_str_mv fractional differential equation
Atangana-Baleanu fractional operator
fixed point methodology
Riemann-Liouville fractional integral
topic fractional differential equation
Atangana-Baleanu fractional operator
fixed point methodology
Riemann-Liouville fractional integral
description The goal of this paper is to present a new class of contraction mappings, so-called -contractions. Also, in the context of partially ordered metric spaces, some coupled fixed-point results for -contraction mappings are introduced. Furthermore, to support our results, two examples are provided. Finally, the theoretical results are applied to obtain the existence of solutions to coupled fractional differential equations with a Mittag-Leffler kernel.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/60896
url http://hdl.handle.net/10810/60896
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://www.aimspress.com/article/doi/10.3934/math.2023433
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/3.0/es/
Atribución 3.0 España
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/3.0/es/
Atribución 3.0 España
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv AIMS Press
publisher.none.fl_str_mv AIMS Press
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 15,301603

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