<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-23T18:48:27Z</responseDate><request verb="GetRecord" identifier="oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/15771" metadataPrefix="oai_dc">https://gumushane-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/15771</identifier><datestamp>2026-10-23T18:25:55Z</datestamp><setSpec>openaire</setSpec><setSpec>com_gumushane_10000</setSpec><setSpec>col_gumushane_10001</setSpec><setSpec>com_gumushane_10007</setSpec><setSpec>col_gumushane_10171</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>Well-posedness of fractional parabolic differential and difference equations with Dirichlet-Neumann conditions</dc:title><dc:creator>Ashyralyev, Allaberen</dc:creator><dc:creator>Emirov, Nazar</dc:creator><dc:creator>Cakir, Zafer</dc:creator><dc:subject>Difference schemes</dc:subject><dc:subject>Dirichlet-Neumann conditions</dc:subject><dc:subject>Fractional parabolic equations</dc:subject><dc:subject>Positive operator</dc:subject><dc:subject>Stability</dc:subject><dc:description>We study initial-boundary value problems for fractional parabolic equations with the Dirichlet-Neumann conditions. We obtain a stable difference schemes for this problem, and obtain theorems on coercive stability estimates for the solution of the first order of accuracy difference scheme. A procedure of modified Gauss elimination method is applied for the solution of the first and second order of accuracy difference schemes of one-dimensional fractional parabolic differential equations.</dc:description><dc:publisher>Texas State University - San Marcos</dc:publisher><dc:date>2014</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/gumushane/15771</dc:identifier><dc:identifier>1072-6691</dc:identifier><dc:language>en</dc:language><dc:relation>Electronic Journal of Differential Equations</dc:relation><dc:rights>info:eu-repo/semantics/closedAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/15771</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>