Identificador persistente para citar o vincular este elemento: http://hdl.handle.net/10553/121723
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dc.contributor.authorAppell, J.en_US
dc.contributor.authorDutkiewicz, A.en_US
dc.contributor.authorLópez Brito, María Belénen_US
dc.contributor.authorReinwand, S.en_US
dc.contributor.authorSadarangani Sadarangani, Kishin Bhagwandsen_US
dc.date.accessioned2023-03-31T15:12:15Z-
dc.date.available2023-03-31T15:12:15Z-
dc.date.issued2021en_US
dc.identifier.issn1583-5022en_US
dc.identifier.urihttp://hdl.handle.net/10553/121723-
dc.description.abstractIn this note, we give a sufficient condition for the existence of Hölder-type solutions to a class of fractional initial value problems involving Caputo derivatives. Since imposing (classical or general) global Lipschitz conditions on the nonlinear operators involved leads to degeneracy phenomena, the main emphasis is put on local Lipschitz conditions or fixed point principles of Schauder and Darbo type. To this end, we study continuity and boundedness conditions for linear Riemann-Liouville operators and nonlinear Nemytskij operators in Hölder spaces of integral type which have much better properties than classical Hölder spaces.en_US
dc.languageengen_US
dc.relation.ispartofFixed Point Theoryen_US
dc.sourceFixed Point Theory, v. 22 (1), p. 31-58, (2021)en_US
dc.subject120219 Ecuaciones diferenciales ordinariasen_US
dc.subject.otherInitial value problemen_US
dc.subject.otherCaputo derivativeen_US
dc.subject.otherSingular integral equationen_US
dc.subject.otherRiemann-Liouville operatoren_US
dc.subject.otherNemytskij operatoren_US
dc.subject.otherIntegral-type Holder spaceen_US
dc.subject.otherSchauder fixed point theoremen_US
dc.subject.otherDarbo fixed point theoremen_US
dc.titleHölder-type spaces, singular operators, and fixed point theoremsen_US
dc.typeArticleen_US
dc.identifier.doi10.24193/fpt-ro.2021.1.03en_US
dc.identifier.scopus2-s2.0-85108412075-
dc.identifier.isiWOS:000627593500003-
dc.contributor.orcid#NODATA#-
dc.contributor.orcid#NODATA#-
dc.contributor.orcid#NODATA#-
dc.contributor.orcid#NODATA#-
dc.contributor.orcid#NODATA#-
dc.identifier.eissn2066-9208-
dc.description.lastpage58en_US
dc.identifier.issue1-
dc.description.firstpage31en_US
dc.relation.volume22en_US
dc.investigacionCienciasen_US
dc.utils.revisionen_US
dc.date.coverdateFebruary, 2021en_US
dc.identifier.ulpgcen_US
dc.contributor.buulpgcBU-INFen_US
dc.description.sjr0,68-
dc.description.jcr1,396-
dc.description.sjrqQ2-
dc.description.jcrqQ1-
dc.description.ahciAHCI
dc.description.scieSCIE-
dc.description.miaricds10,8-
item.grantfulltextopen-
item.fulltextCon texto completo-
crisitem.author.deptGIR Análisis funcional y ecuaciones integrales-
crisitem.author.deptDepartamento de Matemáticas-
crisitem.author.deptGIR Análisis funcional y ecuaciones integrales-
crisitem.author.deptDepartamento de Matemáticas-
crisitem.author.orcid0000-0002-1484-0890-
crisitem.author.orcid0000-0002-7090-0114-
crisitem.author.parentorgDepartamento de Matemáticas-
crisitem.author.parentorgDepartamento de Matemáticas-
crisitem.author.fullNameLópez Brito, María Belén-
crisitem.author.fullNameSadarangani Sadarangani, Kishin Bhagwands-
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