Extension of mikhlin multiplier theorem to fractional derivatives and stable processes

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dc.authorid0000-0002-5639-0648
dc.contributor.authorKarlı, Denizen_US
dc.date.accessioned2018-12-12T23:14:13Z
dc.date.available2018-12-12T23:14:13Z
dc.date.issued2018-04-25
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn this paper, we prove a new generalized Mikhlin multiplier theorem whose conditions are given with respect to fractional derivatives in integral forms with two different integration intervals. We also discuss the connection between fractional derivatives and stable processes and prove a version of Mikhlin theorem under a condition given in terms of the infinitesimal generator of symmetric stable process. The classical Mikhlin theorem is shown to be a corollary of this new generalized version in this paper.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationKarlı, D. (2018). Extension of mikhlin multiplier theorem to fractional derivatives and stable processes. Fractional Calculus and Applied Analysis, 21(2), 486-508. doi:10.1515/fca-2018-0027en_US
dc.identifier.doi10.1515/fca-2018-0027
dc.identifier.endpage508
dc.identifier.issn1311-0454
dc.identifier.issn1314-2224
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85048877761
dc.identifier.scopusqualityQ1
dc.identifier.startpage486
dc.identifier.urihttps://hdl.handle.net/11729/1415
dc.identifier.urihttp://dx.doi.org/10.1515/fca-2018-0027
dc.identifier.volume21
dc.identifier.wosWOS:000434790100011
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorKarlı, Denizen_US
dc.institutionauthorid0000-0002-5639-0648
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherWalter De Gruyter GMBHen_US
dc.relation.ispartofFractional Calculus And Applied Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional derivativesen_US
dc.subjectGenerator formen_US
dc.subjectMikhlin multiplier theoremen_US
dc.subjectStable processen_US
dc.subjectBounded operatoren_US
dc.subjectStochastic processen_US
dc.subjectEquationen_US
dc.subjectDensityen_US
dc.subjectMaximal regularityen_US
dc.subjectWell-posednessen_US
dc.subjectFourier multiplieren_US
dc.titleExtension of mikhlin multiplier theorem to fractional derivatives and stable processesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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