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Stability estimates for solution of IBVP to fractional parabolic differential and difference equations

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Özet

In this work, we investigate initial-boundary value problems for fractional parabolic equations with the Neumann boundary condition. Stability estimates for the solution of this problem are established. Difference schemes for approximate solution of initial-boundary value problem are constructed. Furthermore, we give theorem on coercive stability estimates for the solution of the difference schemes.

Anahtar Kelimeler

Coercive stabilityFractional parabolic equationsPositive operatorWell-posedness
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15046Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/1.4959701Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorCakir, Zafer
dc.contributor.editorLukashov, A.
dc.contributor.editorAshyralyev, A.
dc.date.accessioned2026-10-22T10:23:30.793062428Z
dc.date.available2026-10-22T10:23:30.793062428Z
dc.date.issued2016
dc.description.abstractIn this work, we investigate initial-boundary value problems for fractional parabolic equations with the Neumann boundary condition. Stability estimates for the solution of this problem are established. Difference schemes for approximate solution of initial-boundary value problem are constructed. Furthermore, we give theorem on coercive stability estimates for the solution of the difference schemes.
dc.identifier.articlenumber020087
dc.identifier.doi10.1063/1.4959701
dc.identifier.isbn978-073541417-4
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85000538745
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15046
dc.identifier.volume1759
dc.identifier.wosWOS:000383223000084
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.conference3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCoercive stability
dc.subjectFractional parabolic equations
dc.subjectPositive operator
dc.subjectWell-posedness
dc.subject.classificationMathematics, Applied
dc.subject.classificationPhysics, Applied
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.titleStability estimates for solution of IBVP to fractional parabolic differential and difference equations
dc.typeConference Object
dspace.entity.typePublication
rdl.citation.openalex0
rdl.citation.scopus0
rdl.citation.wos0
rdl.conference.date7 September 2016 through 10 September 2016
rdl.conference.placeAlmaty
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)