dc.contributor.author | Karlı, Deniz | en_US |
dc.date.accessioned | 2018-12-12T23:14:13Z | |
dc.date.available | 2018-12-12T23:14:13Z | |
dc.date.issued | 2018-04-25 | |
dc.identifier.citation | Karlı, 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-2018-0027 | en_US |
dc.identifier.issn | 1311-0454 | |
dc.identifier.issn | 1314-2224 | |
dc.identifier.uri | https://hdl.handle.net/11729/1415 | |
dc.identifier.uri | http://dx.doi.org/10.1515/fca-2018-0027 | |
dc.description.abstract | In 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.language.iso | eng | en_US |
dc.publisher | Walter De Gruyter GMBH | en_US |
dc.relation.isversionof | 10.1515/fca-2018-0027 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Fractional derivatives | en_US |
dc.subject | Generator form | en_US |
dc.subject | Mikhlin multiplier theorem | en_US |
dc.subject | Stable process | en_US |
dc.subject | Bounded operator | en_US |
dc.subject | Stochastic process | en_US |
dc.subject | Equation | en_US |
dc.subject | Density | en_US |
dc.subject | Maximal regularity | en_US |
dc.subject | Well-posedness | en_US |
dc.subject | Fourier multiplier | en_US |
dc.title | Extension of mikhlin multiplier theorem to fractional derivatives and stable processes | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | Fractional Calculus And Applied Analysis | en_US |
dc.contributor.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.contributor.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.contributor.authorID | 0000-0002-5639-0648 | |
dc.identifier.volume | 21 | |
dc.identifier.issue | 2 | |
dc.identifier.startpage | 486 | |
dc.identifier.endpage | 508 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.institutionauthor | Karlı, Deniz | en_US |
dc.relation.index | WOS | en_US |
dc.relation.index | Scopus | en_US |
dc.relation.index | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.description.quality | Q1 | |
dc.description.wosid | WOS:000434790100011 | |