<?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>2026-10-23T14:58:26Z</responseDate><request verb="GetRecord" identifier="oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/11511" metadataPrefix="oai_dc">https://gumushane-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:gumushane-rdlopen.rawdatalibrary.net:gumushane/11511</identifier><datestamp>2026-10-22T11:34:50Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</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>Solutions of multiplicative ordinary differential equations via the multiplicative differential transform method</dc:title><dc:creator>Yalçın, Numan</dc:creator><dc:creator>Dedeturk, Mutlu</dc:creator><dc:subject>Multiplicative derivative</dc:subject><dc:subject>Multiplicative differential transform method</dc:subject><dc:subject>Multiplicative ordinary differential equation</dc:subject><dc:subject>Multiplicative power series</dc:subject><dc:description>In this study, fundamental definitions and theorems of the Multiplicative Differential Transform Method (MDTM) are given. First and second order multiplicative initial value problems are numerically solved with the help of MDTM.</dc:description><dc:publisher>American Institute of Mathematical Sciences</dc:publisher><dc:date>2021</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/gumushane/11511</dc:identifier><dc:identifier>https://doi.org/10.3934/math.2021203</dc:identifier><dc:identifier>2473-6988</dc:identifier><dc:language>en</dc:language><dc:relation>AIMS Mathematics</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/11511</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>