Fractional differential operators in vector–valued spaces and applications
| dc.authorscopusid | 6508234400 | |
| dc.contributor.author | Shakhmurov,V. | |
| dc.date.accessioned | 2024-05-25T12:33:59Z | |
| dc.date.available | 2024-05-25T12:33:59Z | |
| dc.date.issued | 2020 | |
| dc.department | Okan University | en_US |
| dc.department-temp | Shakhmurov V., Istanbul Okan University, Department of Mechanical Engineering Akfirat, Tuzla, Istanbul, 34959, Turkey | en_US |
| dc.description.abstract | Fractional 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.citationcount | 0 | |
| dc.identifier.doi | 10.7153/MIA-2020-23-43 | |
| dc.identifier.endpage | 538 | en_US |
| dc.identifier.issn | 1331-4343 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85107792080 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 521 | en_US |
| dc.identifier.uri | https://doi.org/10.7153/MIA-2020-23-43 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14517/2506 | |
| dc.identifier.volume | 23 | en_US |
| dc.identifier.wosquality | Q2 | |
| dc.language.iso | en | |
| dc.publisher | Element D.O.O. | en_US |
| dc.relation.ispartof | Mathematical Inequalities and Applications | 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 | 0 | |
| dc.subject | Abstract parabolic equations | en_US |
| dc.subject | Differential-operator equations | en_US |
| dc.subject | Fractional-differential equations | en_US |
| dc.subject | Maximal L<sub>p</sub> regularity | en_US |
| dc.subject | Operator-valued multipliers | en_US |
| dc.subject | Sobolev-Lions spaces | en_US |
| dc.title | Fractional differential operators in vector–valued spaces and applications | en_US |
| dc.type | Article | en_US |