The Peano–Sard theorem for fractional operators with Mittag-Leffler kernel and application in classical numerical approximation

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorJornet, Marc
dc.contributor.authorNieto Roig, Juan José
dc.date.accessioned2026-03-25T13:11:32Z
dc.date.available2026-03-25T13:11:32Z
dc.date.issued2025-03-15
dc.date.updated2025-12-04T09:27:01Z
dc.description.abstractWe investigate fractional Peano kernels for continuous linear functionals, in the context of differintegral operators with Mittag-Leffler kernel. New bounds for polynomial interpolation are obtained and numerical computations are shown, indicating improvements.en
dc.description.peerreviewedSI
dc.description.sponsorshipThe research of J.J. Nieto was supported by the Agencia Estatal de Investigación (AEI) of Spain Grant PID2020-113275GB-I00 funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe”, by the “European Union ” and Xunta de Galicia, grant ED431C 2023/12 for Competitive Reference Research Groups (2023–2026).
dc.identifier.citationJornet, M., & Nieto, J. J. (2025). The Peano–Sard theorem for fractional operators with Mittag-Leffler kernel and application in classical numerical approximation. Journal of Computational and Applied Mathematics, 457. https://doi.org/10.1016/J.CAM.2024.116262
dc.identifier.doi10.1016/J.CAM.2024.116262
dc.identifier.essn0377-0427
dc.identifier.urihttps://hdl.handle.net/10347/46528
dc.journal.titleJournal of Computational and Applied Mathematics
dc.language.isoeng
dc.publisherElsevier
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 APLICACIONES
dc.relation.publisherversionhttps://doi.org/10.1016/j.cam.2024.116262
dc.rights© 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceJournal of Computational and Applied Mathematics
dc.subjectBounded kernel
dc.subjectFractional operator
dc.subjectInterpolation error
dc.subjectPeano kernel
dc.titleThe Peano–Sard theorem for fractional operators with Mittag-Leffler kernel and application in classical numerical approximationen
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number457
dspace.entity.typePublication
oaire.awardNumberMCIN/AEI/10.13039/501100011033
oaire.awardNumber2023–2026
oaire.funderIdentifier10.13039/501100000780
oaire.funderIdentifier10.13039/501100008530
oaire.funderIdentifier10.13039/501100011033
oaire.funderIdentifier10.13039/501100010801
oaire.funderNameEuropean Commission
oaire.funderNameEuropean Regional Development Fund
oaire.funderNameAgencia Estatal de Investigación
oaire.funderNameXunta de Galicia
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relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

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