A note on fractional parabolic differential and difference equations

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In this work, the first and second order of difference schemes that approximately solve the initial-boundary value problem for multidimensional fractional parabolic equation with Dirichlet boundary condition are presented. The stability estimates for the solution of these difference schemes are established.

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https://rdlopen.rawdatalibrary.net/r/gumushane/15553Resmi atıflarda kullanılan kalıcı adres
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https://doi.org/10.1063/1.4893842Yayıncı resmi DOI adresi
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AlanDeğerDil
dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorArtykov, Merdan
dc.contributor.authorCakir, Zafer
dc.contributor.editorAshyralyev, A
dc.contributor.editorMalkowsky, E
dc.date.accessioned2026-10-22T10:24:10.756363072Z
dc.date.available2026-10-22T10:24:10.756363072Z
dc.date.issued2014
dc.description.abstractIn this work, the first and second order of difference schemes that approximately solve the initial-boundary value problem for multidimensional fractional parabolic equation with Dirichlet boundary condition are presented. The stability estimates for the solution of these difference schemes are established.
dc.identifier.doi10.1063/1.4893842
dc.identifier.endpage254
dc.identifier.isbn978-073541247-7
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-84907365374
dc.identifier.startpage251
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15553
dc.identifier.volume1611
dc.identifier.wosWOS:000343720600049
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.conference2nd International Conference on Analysis and Applied Mathematics, ICAAM 2014
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectDifference schemes
dc.subjectDirichlet condition
dc.subjectFractional parabolic equations
dc.subjectPositive operator
dc.subjectStability
dc.subject.classificationMathematics, Applied
dc.subject.classificationPhysics, Applied
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.subject.otherBoundary conditions
dc.subject.otherConvergence of numerical methods
dc.subject.otherDifference equations
dc.subject.otherInitial value problems
dc.subject.otherDifference schemes
dc.subject.otherDirichlet boundary condition
dc.subject.otherDirichlet condition
dc.subject.otherInitial-boundary value problems
dc.subject.otherParabolic Equations
dc.subject.otherPositive operator
dc.subject.otherSecond orders
dc.subject.otherStability estimates
dc.subject.otherPartial differential equations
dc.titleA note on fractional parabolic differential and difference equations
dc.typeConference Object
rdl.citation.openalex4
rdl.citation.scopus5
rdl.citation.wos3
rdl.conference.date11 September 2014 through 13 September 2014
rdl.conference.placeShymkent
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)