The application of Meir-Keeler condensing operators to a new class of fractional differential equations involving psi-Caputo fractional derivative

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorBaitiche, Zidane
dc.contributor.authorDerbazi, Choukri
dc.contributor.authorBenchohra, Mouffak
dc.contributor.authorCabada Fernández, Alberto
dc.date.accessioned2024-11-26T10:21:30Z
dc.date.available2024-11-26T10:21:30Z
dc.date.issued2021-08-01
dc.description.abstractIn this paper, we discuss the existence of solutions for a new class of nonlinear differential equations involving the psi-Caputo fractional derivative with Dirichlet boundary conditions in Banach spaces. Our approach is based on a new fixed point theorem with respect to Meir-Keeler condensing operators. Two illustrative examples are also given in support of our existence results.
dc.description.peerreviewedSI
dc.description.sponsorshipThe fourth author was partially supported by Xunta de Galicia (Spain), project EM2014/032 the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER.
dc.identifier.citationZidane Baitiche, Choukri Derbazi, Mouffak Benchohra, Alberto Cabada, The application of Meir-Keeler condensing operators to a new class of fractional differential equations involving psi-Caputo fractional derivative, J. Nonlinear Var. Anal. 5 (2021), 561-572
dc.identifier.doi10.23952/jnva.5.2021.4.05
dc.identifier.essn2560-6778
dc.identifier.issn2560-6921
dc.identifier.urihttps://hdl.handle.net/10347/37853
dc.issue.number4
dc.journal.titleJournal of Nonlinear and Variational Analysis
dc.language.isoeng
dc.page.final572
dc.page.initial561
dc.publisherBiemdas Academic Publishers
dc.relation.publisherversionhttps://doi.org/10.23952/jnva.5.2021.4.05
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectPsi-Caputo fractional derivative
dc.subjectDirichlet boundary conditions
dc.subjectMeir-Keeler condensing operators
dc.subjectFixed point theorem
dc.subjectMeasures of noncompactness
dc.subject.classification1202 Análisis y análisis funcional
dc.titleThe application of Meir-Keeler condensing operators to a new class of fractional differential equations involving psi-Caputo fractional derivative
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number2021
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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