Nontrivial Solutions of Non-Autonomous Dirichlet Fractional Discrete Problems

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorCabada Fernández, Alberto
dc.contributor.authorDimitrov, Nikolay
dc.date.accessioned2024-11-25T09:01:07Z
dc.date.available2024-11-25T09:01:07Z
dc.date.issued2020-09-11
dc.descriptionThis version of the article has been accepted for publication, after peer review, and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1515/fca-2020-0051
dc.description.abstractIn this paper, we introduce a two-point boundary value problem for a finite fractional difference equation with a perturbation term. By applying spectral theory, an associated Green’s function is constructed as a series of functions and some of its properties are obtained. Under suitable conditions on the nonlinear part of the equation, some existence and uniqueness results are deduced.
dc.description.peerreviewedSI
dc.description.sponsorshipThe first author is partially supported by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER. The second author is supported by the Bulgarian National Science Fund under Project DN 12/4 “Advanced analytical and numerical methods for nonlinear differential equations with applications in finance and environmental pollution”, 2017.
dc.identifier.citationCabada, A., Dimitrov, N. Nontrivial Solutions of Non-Autonomous Dirichlet Fractional Discrete Problems. Fract Calc Appl Anal 23, 980–995 (2020). https://doi.org/10.1515/fca-2020-0051
dc.identifier.doi10.1515/fca-2020-0051
dc.identifier.essn1314-2224
dc.identifier.issn1311-0454
dc.identifier.urihttps://hdl.handle.net/10347/37811
dc.issue.number4
dc.journal.titleFractional Calculus and Applied Analysis
dc.language.isoeng
dc.page.final995
dc.page.initial980
dc.publisherSpringer
dc.relation.publisherversionhttps://doi.org/10.1515/fca-2020-0051
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectDiscrete fractional calculus
dc.subjectGreen’s function
dc.subjectExistence of solutions
dc.subjectTwo-point boundary value problem
dc.subject.classification1202 Análisis y análisis funcional
dc.titleNontrivial Solutions of Non-Autonomous Dirichlet Fractional Discrete Problems
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number23
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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