Nonlocal Fractional Differential Equations and Applications

dc.authorscopusid 6508234400
dc.contributor.author Shakhmurov, Veli
dc.date.accessioned 2024-05-25T12:29:48Z
dc.date.available 2024-05-25T12:29:48Z
dc.date.issued 2020
dc.department Okan University en_US
dc.department-temp [Shakhmurov, Veli] Istanbul Okan Univ, Dept Mech Engn, TR-34959 Istanbul, Turkey en_US
dc.description.abstract The regularity properties of nonlocal fractional differential equations in Banach spaces are studied. Uniform L p-separability properties and sharp resolvent estimates are obtained for abstract elliptic operator in terms of fractional derivatives. Particularly, it is proven that the fractional elliptic operator generated by these equations is sectorial and also is a generator of an analytic semigroup. Moreover, maximal regularity properties of nonlocal fractional abstract parabolic equation are established. As an application, the nonlocal anisotropic fractional differential equations and the system of nonlocal fractional differential equations are studied. en_US
dc.identifier.citationcount 3
dc.identifier.doi 10.1007/s11785-020-01006-1
dc.identifier.issn 1661-8254
dc.identifier.issn 1661-8262
dc.identifier.issue 4 en_US
dc.identifier.scopus 2-s2.0-85085512880
dc.identifier.scopusquality Q4
dc.identifier.uri https://doi.org/10.1007/s11785-020-01006-1
dc.identifier.uri https://hdl.handle.net/20.500.14517/2146
dc.identifier.volume 14 en_US
dc.identifier.wos WOS:000536598900001
dc.identifier.wosquality Q3
dc.language.iso en
dc.publisher Springer Basel Ag en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 3
dc.subject Fractional-differential equations en_US
dc.subject Sobolev-Lions spaces en_US
dc.subject Abstract differential equations en_US
dc.subject Maximal L-p regularity en_US
dc.subject Abstract parabolic equations en_US
dc.subject Operator-valued multipliers en_US
dc.title Nonlocal Fractional Differential Equations and Applications en_US
dc.type Article en_US
dc.wos.citedbyCount 3

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