A variational approach to perturbed impulsive fractional differential equations

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Análise Matemática
dc.contributor.authorHeidarkhani, Shapour
dc.contributor.authorCabada Fernández, Alberto
dc.contributor.authorAfrouzi, Ghasem Alizadeh
dc.contributor.authorMoradi, S.
dc.contributor.authorCaristi, G.
dc.date.accessioned2026-01-14T11:57:39Z
dc.date.available2026-01-14T11:57:39Z
dc.date.issued2018-10-15
dc.description.abstractIn this paper, perturbed systems of impulsive nonlinear fractional differential equations, including Lipschitz continuous nonlinear terms, are studied. The existence of at least three distinct weak solutions is obtained based on a recent three critical points theorem for differentiable functionals. In addition, examples are presented to illustrate the feasibility and effectiveness of the main results.
dc.description.peerreviewedSI
dc.identifier.citationS. Heidarkhani, A. Cabada, G.A. Afrouzi, S. Moradi, G. Caristi, A variational approach to perturbed impulsive fractional differential equations, Journal of Computational and Applied Mathematics, Volume 341, 2018, Pages 42-60, ISSN 0377-0427, https://doi.org/10.1016/j.cam.2018.02.033.
dc.identifier.doi10.1016/j.cam.2018.02.033
dc.identifier.essn1879-1778
dc.identifier.issn0377-0427
dc.identifier.urihttps://hdl.handle.net/10347/45141
dc.journal.titleJournal of Computational and Applied Mathematics
dc.language.isoeng
dc.page.final60
dc.page.initial42
dc.publisherElsevier
dc.relation.projectIDSecond author was partially supported by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER.
dc.relation.publisherversionhttps://doi.org/10.1016/j.cam.2018.02.033
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectThree solutions
dc.subjectFractional differential equation
dc.subjectImpulsive effect
dc.subjectVariational methods
dc.subjectCritical point theory
dc.subject.classification1202 Análisis y análisis funcional
dc.titleA variational approach to perturbed impulsive fractional differential equations
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number341
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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