Fractional Euler numbers and generalized proportional fractional logistic differential equation

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorNieto Roig, Juan José
dc.date.accessioned2022-09-02T12:13:43Z
dc.date.available2022-09-02T12:13:43Z
dc.date.issued2022
dc.description.abstractWe solve a logistic differential equation for generalized proportional Caputo fractional derivative. The solution is found as a fractional power series. The coefficients of that power series are related to the Euler polynomials and Euler numbers as well as to the sequence of Euler’s fractional numbers recently introduced. Some numerical approximations are presented to show the good approximations obtained by truncating the fractional power series. This generalizes previous cases including the Caputo fractional logistic differential equation and Euler’s numbersgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipOpen access funding provided by Università degli Studi di Bari Aldo Moro within the CRUI-CARE Agreement. This work has been partially supported by the Agencia Estatal de Investigación (AEI) of Spain under Grant PID2020-113275GB-I00, cofinanced by the European Community fund FEDER, as well as Xunta de Galicia grant ED431C 2019/02 for Competitive Reference Research Groups (2019-22)gl
dc.identifier.citationFractional Calculus and Applied Analysis 25, 876–886 (2022). https://doi.org/10.1007/s13540-022-00044-0gl
dc.identifier.doi10.1007/s13540-022-00044-0
dc.identifier.essn1314-2224
dc.identifier.issn1311-0454
dc.identifier.urihttp://hdl.handle.net/10347/29199
dc.language.isoenggl
dc.publisherSpringergl
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113275GB-I00/ES/ECUACIONES DIFERENCIALES ORDINARIAS NO LINEALES Y APLICACIONESgl
dc.relation.publisherversionhttps://doi.org/10.1007/s13540-022-00044-0gl
dc.rights© The Author(s) 2022. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/gl
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectLogistic differential equationgl
dc.subjectFractional calculusgl
dc.subjectGeneralized proportional fractional integralgl
dc.subjectEuler numbersgl
dc.subjectEuler fractional numbersgl
dc.titleFractional Euler numbers and generalized proportional fractional logistic differential equationgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

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