A class of fractional differential hemivariational inequalities with application to contact problem

2018
journal article
article
97
cris.lastimport.wos2024-04-09T19:11:17Z
dc.abstract.enIn this paper, we study a class of generalized differential hemivariational inequalities of parabolic type involving the time fractional order derivative operator in Banach spaces. We use the Rothe method combined with surjectivity of multivalued pseudomonotone operators and properties of the Clarke generalized gradient to establish existence of solution to the abstract inequality. As an illustrative application, a frictional quasistatic contact problem for viscoelastic materials with adhesion is investigated, in which the friction and contact conditions are described by the Clarke generalized gradient of nonconvex and nonsmooth functionals, and the constitutive relation is modeled by the fractional Kelvin–Voigt law.pl
dc.affiliationWydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowaniapl
dc.contributor.authorZeng, Shengda - 378084 pl
dc.contributor.authorLiu, Zhenhaipl
dc.contributor.authorMigórski, Stanisław - 130585 pl
dc.date.accessioned2018-03-06T18:25:20Z
dc.date.available2018-03-06T18:25:20Z
dc.date.issued2018pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number2pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume69pl
dc.identifier.articleid36pl
dc.identifier.doi10.1007/s00033-018-0929-6pl
dc.identifier.eissn1420-9039pl
dc.identifier.issn0044-2275pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/51298
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 3.0 Polska*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/pl/legalcode*
dc.share.typeinne
dc.subject.endifferential hemivariational inequalitypl
dc.subject.enRothe methodpl
dc.subject.enClarke generalized gradientpl
dc.subject.enfractional Caputo derivativepl
dc.subject.enadhesionpl
dc.subject.enFractional Kelvin-Voigt constitutive lawpl
dc.subtypeArticlepl
dc.titleA class of fractional differential hemivariational inequalities with application to contact problempl
dc.title.journalZeitschrift für angewandte Mathematik und Physikpl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T19:11:17Z
dc.abstract.enpl
In this paper, we study a class of generalized differential hemivariational inequalities of parabolic type involving the time fractional order derivative operator in Banach spaces. We use the Rothe method combined with surjectivity of multivalued pseudomonotone operators and properties of the Clarke generalized gradient to establish existence of solution to the abstract inequality. As an illustrative application, a frictional quasistatic contact problem for viscoelastic materials with adhesion is investigated, in which the friction and contact conditions are described by the Clarke generalized gradient of nonconvex and nonsmooth functionals, and the constitutive relation is modeled by the fractional Kelvin–Voigt law.
dc.affiliationpl
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
dc.contributor.authorpl
Zeng, Shengda - 378084
dc.contributor.authorpl
Liu, Zhenhai
dc.contributor.authorpl
Migórski, Stanisław - 130585
dc.date.accessioned
2018-03-06T18:25:20Z
dc.date.available
2018-03-06T18:25:20Z
dc.date.issuedpl
2018
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
2
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
69
dc.identifier.articleidpl
36
dc.identifier.doipl
10.1007/s00033-018-0929-6
dc.identifier.eissnpl
1420-9039
dc.identifier.issnpl
0044-2275
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/51298
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 3.0 Polska
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/3.0/pl/legalcode
dc.share.type
inne
dc.subject.enpl
differential hemivariational inequality
dc.subject.enpl
Rothe method
dc.subject.enpl
Clarke generalized gradient
dc.subject.enpl
fractional Caputo derivative
dc.subject.enpl
adhesion
dc.subject.enpl
Fractional Kelvin-Voigt constitutive law
dc.subtypepl
Article
dc.titlepl
A class of fractional differential hemivariational inequalities with application to contact problem
dc.title.journalpl
Zeitschrift für angewandte Mathematik und Physik
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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