Existence of solutions for conformable fractional problems with nonlinear functional boundary conditions

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorBendouma, Bouharket
dc.contributor.authorCabada Fernández, Alberto
dc.contributor.authorHammoudi, Ahmed
dc.date.accessioned2026-01-27T08:36:31Z
dc.date.available2026-01-27T08:36:31Z
dc.date.issued2019-12-03
dc.description.abstractIn this article, we study the existence of solutions for nonlinear conformable fractional differential equations with nonlinear functional boundary conditions. We obtain the exact expression of the fractional Green’s function related to the linear problem. Moreover, the method of upper and lower solutions together with Schauder’s fixed point theorem is developed for the nonlinear conformable fractional problems with nonlinear functional boundary conditions.
dc.description.peerreviewedSI
dc.description.sponsorshipSecond author partially supported by XUNTA De Galicia (Spain), project EM2014/032 and AIE Spain and FEDER, GRANT MTM2016-75140-P.
dc.identifier.citationBendouma, Bouharket, Alberto Cabada and Ahmed Hammoudi. “Existence of solutions for conformable fractional problems with nonlinear functional boundary conditions.” Malaya Journal of Matematik, Vol. 7, No. 4, 700-708, 2019
dc.identifier.doi10.26637/mjm0704/0013
dc.identifier.issn2319−3786
dc.identifier.urihttps://hdl.handle.net/10347/45446
dc.issue.number4
dc.journal.titleMalaya Journal of Matematik
dc.language.isoeng
dc.page.final708
dc.page.initial700
dc.publisherUniversity Press
dc.relation.publisherversionhttp://doi.org/10.26637/mjm0704/0013
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectConformable fractional derivative
dc.subjectNonlinear boundary conditions
dc.subjectGreen’s function
dc.subjectUpper and lower solutions method
dc.subjectExistence theorems
dc.subjectMaximum principles
dc.subject.classification1202 Análisis y análisis funcional
dc.titleExistence of solutions for conformable fractional problems with nonlinear functional boundary conditions
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number7
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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