Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value 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.authorAleksic, Suzana
dc.contributor.authorTomovic, Tatjana V.
dc.contributor.authorDimitrijevic, Sladjana
dc.date.accessioned2026-01-14T13:18:31Z
dc.date.available2026-01-14T13:18:31Z
dc.date.issued2019-08-17
dc.description.abstractIn this paper, we establish new results for non-local boundary value problems. In particular, we study a fractional differential equation where the associated integral equation has a kernel that is not bounded above and changes its sign, so that, the positive sign of the possible solutions is generally not ensured. We provide some examples which support the theory and illustrate the applicability of the obtained results.
dc.description.peerreviewedSI
dc.description.sponsorshipFirst author partially is supported by Xunta de Galicia (Spain), project EM2014/032 and AIE Spain and FEDER, Grant MTM2016-75140-P. Second, third and fourth authors are supported by Serbian Ministry of Science and Technology (Grants 174024 and 174015).
dc.identifier.citationCabada, A., Aleksić, S., Tomović, T.V. et al. Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems. Mediterr. J. Math. 16, 119 (2019). https://doi.org/10.1007/s00009-019-1388-9
dc.identifier.doi10.1007/s00009-019-1388-9
dc.identifier.essn1660-5454
dc.identifier.issn1660-5446
dc.identifier.urihttps://hdl.handle.net/10347/45153
dc.issue.number119
dc.journal.titleMediterranean Journal of Mathematics
dc.language.isoeng
dc.page.final18
dc.page.initial1
dc.publisherSpringer Nature Link
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ES/
dc.relation.publisherversionhttps://doi.org/10.1007/s00009-019-1388-9
dc.rights.accessRightsopen access
dc.subjectFractional differential equation
dc.subjectnon-local boundary value problem
dc.subjectpositive solution
dc.subjectCaputo’s fractional derivative
dc.subjectGreen’s function
dc.titleExistence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number16
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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