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<ArticleSet>
<Article>
<Journal>
				<PublisherName>University of Guilan</PublisherName>
				<JournalTitle>Journal of Mathematical Modeling</JournalTitle>
				<Issn>2345-394X</Issn>
				<Volume>13</Volume>
				<Issue>2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2025</Year>
					<Month>05</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Solving a class of auto-convolution Volterra integral equations via differential transform method</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>485</FirstPage>
			<LastPage>496</LastPage>
			<ELocationID EIdType="pii">8452</ELocationID>
			
<ELocationID EIdType="doi">10.22124/jmm.2025.28630.2538</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Abolfazl</FirstName>
					<LastName>Tari</LastName>
<Affiliation>Department of Mathematics, Faculty of Science, Shahed University, Tehran, Iran</Affiliation>

</Author>
<Author>
					<FirstName>Sedaghat</FirstName>
					<LastName>Shahmorad</LastName>
<Affiliation>Department of Applied Mathematics, University of Tbariz, Tabriz</Affiliation>

</Author>
<Author>
					<FirstName>Mahdi</FirstName>
					<LastName>Mostafazadeh</LastName>
<Affiliation>Department of Applied Mathematics, University of Tbariz, Tabriz</Affiliation>

</Author>
<Author>
					<FirstName>Fevzi</FirstName>
					<LastName>Erdogan</LastName>
<Affiliation>Department of Mathematics, Van Yuzuncu Yil University, Van, Turkey</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2024</Year>
					<Month>10</Month>
					<Day>07</Day>
				</PubDate>
			</History>
		<Abstract>The aim of this paper is to solve a class of  auto-convolution Volterra integral equations by the well-known differential transform method. The analytic property of solution and convergence of the method under some assumptions are discussed and some illustrative examples are given to clarify the theoretical results, accuracy and performance of the proposed method.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Volterra integral equations</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Auto-convolution</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Differential transform method</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Analytic function</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jmm.guilan.ac.ir/article_8452_a04fa3a0d709997abc5003647d560b9c.pdf</ArchiveCopySource>
</Article>
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