Existence of multiple positive solutions of a nonlinear arbitrary order boundary value problem with advanced arguments

dc.contributor.authorWang, G. T.en
dc.contributor.authorZhang, L. H.en
dc.contributor.authorNtouyas, S. K.en
dc.date.accessioned2015-11-24T17:23:29Z
dc.date.available2015-11-24T17:23:29Z
dc.identifier.issn1417-3875-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12756
dc.rightsDefault Licence-
dc.subjectpositive solutionen
dc.subjectadvanced argumentsen
dc.subjectfractional differentiale quationsen
dc.subjectfixed point index theoryen
dc.subjectleggett-williams fixed point theoremen
dc.subjectfractional differential-equationsen
dc.subjectdeviating argumentsen
dc.subjectintegrodifferential equationsen
dc.subjectintegral-equationen
dc.subjectbanach-spacesen
dc.titleExistence of multiple positive solutions of a nonlinear arbitrary order boundary value problem with advanced argumentsen
heal.abstractIn this paper, we investigate nonlinear fractional differential equations of arbitrary order with advanced arguments { D-0+(alpha) u(t) + a(t)f(u(theta(t))) = 0, 0 < t < 1, n- 1 <alpha <= n, u((i))(0) = 0, i = 0, 1, 2, ... , n - 2, [D-0+(beta) u(t)](t=1) = 0, 1 <= beta <= n - 2, where n < 3 (n is an element of N), D-0+(alpha) is the standard Riemann-Liouville fractional derivative of order alpha, f:[0,infinity) -> [0,infinity), a :[0,1] -> (0, infinity)and theta : (0,1) -> (0,1] are continuousfunctions.ByapplyingfixedpointindextheoryandLeggett-Williams fixed point theorem, sufficient conditions for the existence of multiple positive solutions to the above boundary value problem are establisheden
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.secondary<Go to ISI>://000301079400001-
heal.journalNameElectronic Journal of Qualitative Theory of Differential Equationsen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2012-
heal.publisherUniversity of Szeged, Bolyai Instituteen
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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