Fractional differential operators in vector–valued spaces and applications

dc.authorscopusid6508234400
dc.contributor.authorShakhmurov,V.
dc.date.accessioned2024-05-25T12:33:59Z
dc.date.available2024-05-25T12:33:59Z
dc.date.issued2020
dc.departmentOkan Universityen_US
dc.department-tempShakhmurov V., Istanbul Okan University, Department of Mechanical Engineering Akfirat, Tuzla, Istanbul, 34959, Turkeyen_US
dc.description.abstractFractional differential operator equations with parameter are studied. Uniform Lpseparability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives. Moreover, maximal regularity properties of the fractıonal abstract parabolic equation are established. Particularly, it is proven that the operators generated by these equations are positive and also are generators of analytic semigroups. As an application, the anisotropic parameter dependent fractional differential equations and the system of fractional differential equations are studied. © 2020 Element D.O.O.. All rights reserved.en_US
dc.identifier.citation0
dc.identifier.doi10.7153/MIA-2020-23-43
dc.identifier.endpage538en_US
dc.identifier.issn1331-4343
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85107792080
dc.identifier.scopusqualityQ2
dc.identifier.startpage521en_US
dc.identifier.urihttps://doi.org/10.7153/MIA-2020-23-43
dc.identifier.urihttps://hdl.handle.net/20.500.14517/2506
dc.identifier.volume23en_US
dc.identifier.wosqualityQ2
dc.language.isoen
dc.publisherElement D.O.O.en_US
dc.relation.ispartofMathematical Inequalities and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAbstract parabolic equationsen_US
dc.subjectDifferential-operator equationsen_US
dc.subjectFractional-differential equationsen_US
dc.subjectMaximal L<sub>p</sub> regularityen_US
dc.subjectOperator-valued multipliersen_US
dc.subjectSobolev-Lions spacesen_US
dc.titleFractional differential operators in vector–valued spaces and applicationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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