Existence of solutions to uncertain differential equations of nonlocal type via an extended Krasnosel’skii fixed point theorem

dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística e Investigación Operativagl
dc.contributor.authorKhastan, Alireza
dc.contributor.authorNieto Roig, Juan José
dc.contributor.authorRodríguez López, Rosana
dc.date.accessioned2023-01-24T10:15:25Z
dc.date.available2023-01-24T10:15:25Z
dc.date.issued2022
dc.description.abstractIn the present study, we investigate the existence of the solutions to a type of uncertain differential equations subject to nonlocal derivatives. The approach is based on the application of an extended Krasnosel’skii fixed point theorem valid on fuzzy metric spaces. With this theorem, we deduce that the problem of interest has a fuzzy solution, which is defined on a certain interval. Our approach includes the consideration of a related integral problem, to which the above-mentioned tools are applicable. We finish with some physical motivationsgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipWe are grateful to the Editor and the anonymous Referees for their comments and suggestions that helped to improve the paper. The research of J.J.N. and R.R.L. is supported by grant numbers PID2020-113275GB-I00 (AEI/FEDER, UE), MTM2016-75140-P (AEI/FEDER, UE), and ED431C 2019/02 (GRC Xunta de Galicia). The visit of A.K. to the University of Santiago de Compostela has been partially supported by the Agencia Estatal de Investigación (AEI) of Spain, co-financed by the European Fund for Regional Development (FEDER) corresponding to the 2014-2020 multiyear financial framework, project MTM2016-75140-P; and by Xunta de Galicia under grant ED431C 2019/02. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Naturegl
dc.identifier.citationKhastan, A., Nieto, J.J. & Rodríguez-López, R. Existence of solutions to uncertain differential equations of nonlocal type via an extended Krasnosel’skii fixed point theorem. Eur. Phys. J. Plus 137, 1308 (2022). https://doi.org/10.1140/epjp/s13360-022-03447-3gl
dc.identifier.doi10.1140/epjp/s13360-022-03447-3
dc.identifier.essn2190-5444
dc.identifier.urihttp://hdl.handle.net/10347/29995
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/10.1140/epjp/s13360-022-03447-3gl
dc.rights© 2022 The Authors. 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.rightsAtribución 4.0 Internacional
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.titleExistence of solutions to uncertain differential equations of nonlocal type via an extended Krasnosel’skii fixed point theoremgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublication5325806d-046b-4f29-b878-38d23f1a0d1e
relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

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