Analytical solutions for fractional partial delay differential-algebraic equations with Dirichlet boundary conditions defined on a finite domain

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorDing, Xiao-Li
dc.contributor.authorNieto Roig, Juan José
dc.contributor.authorWang, Xiaolong
dc.date.accessioned2022-09-02T12:23:49Z
dc.date.available2022-09-02T12:23:49Z
dc.date.issued2022
dc.description.abstractIn this paper, we investigate the solution of multi-term time-space fractional partial delay differential-algebraic equations (MTS-FPDDAEs) with Dirichlet boundary conditions defined on a finite domain. We use Laplace transform method to give the solutions of multi-term time fractional delay differential-algebraic equations (MTS-FDDAEs). Then, the technique of spectral representation of the fractional Laplacian operator is used to convert the MTS-FPDDAEs into the MTS-FDDAEs. By applying our obtained solutions to the resulting MTS-FDDAEs, the desired analytical solutions of the MTS-FPDDAEs are obtained. Finally, we give the solutions of some special casesgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThis work was supported by the Natural Science Foundation of China (NSFC) under grants 11871400. The work of J.J. Nieto has been partially supported by the Agencia Estatal de Investigacion (AEI) of Spain under Grant PID2020-113275GB-I00 and co-financed by European Community fund FEDER and by Xunta de Galicia, grant ED431C 2019/02. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Naturegl
dc.identifier.citationFractional Calculus and Applied Analysis 25, 408–438 (2022). https://doi.org/10.1007/s13540-022-00021-7gl
dc.identifier.doi10.1007/s13540-022-00021-7
dc.identifier.essn1314-2224
dc.identifier.issn1311-0454
dc.identifier.urihttp://hdl.handle.net/10347/29202
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/s13540-022-00021-7gl
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.subjectFractional partial differential-algebraic equations with delaysgl
dc.subjectDirichlet boundary conditiongl
dc.subjectFractional Laplacian operatorgl
dc.subjectSpectral representationgl
dc.subjectAnalytical solutiongl
dc.titleAnalytical solutions for fractional partial delay differential-algebraic equations with Dirichlet boundary conditions defined on a finite domaingl
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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