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

dc.contributor.authorHammad, Hasanen A. ORCID
dc.contributor.authorIşık, Hüseyin
dc.contributor.authorAydi, Hassen
dc.contributor.authorDe la Sen Parte, Manuel ORCID
dc.date.accessioned2023-04-21T16:44:33Z
dc.date.available2023-04-21T16:44:33Z
dc.date.issued2023-02
dc.identifier.citationAIMS Mathematics 8(4) : 8633-8649 (2023)es_ES
dc.identifier.issn2473-6988
dc.identifier.urihttp://hdl.handle.net/10810/60896
dc.description.abstractThe 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.es_ES
dc.description.sponsorshipThis work was supported in part by the Basque Government under Grant IT1555-22.es_ES
dc.language.isoenges_ES
dc.publisherAIMS Presses_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectfractional differential equationes_ES
dc.subjectAtangana-Baleanu fractional operatores_ES
dc.subjectfixed point methodologyes_ES
dc.subjectRiemann-Liouville fractional integrales_ES
dc.titleFixed point approach to the Mittag-Leffler kernel-related fractional differential equationses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.holder© 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)es_ES
dc.rights.holderAtribución 3.0 España*
dc.relation.publisherversionhttp://www.aimspress.com/article/doi/10.3934/math.2023433es_ES
dc.identifier.doi10.3934/math.2023433
dc.departamentoesElectricidad y electrónicaes_ES
dc.departamentoeuElektrizitatea eta elektronikaes_ES


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© 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)
Except where otherwise noted, this item's license is described as © 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)