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<ArticleSet>
<Article>
<Journal>
				<PublisherName>Semnan University</PublisherName>
				<JournalTitle>International Journal of Nonlinear Analysis and Applications</JournalTitle>
				<Issn>2008-6822</Issn>
				<Volume>9</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2018</Year>
					<Month>09</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>On Hadamard and Fej\'{e}r-Hadamard inequalities for Caputo $\small{k}$-fractional derivatives</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>69</FirstPage>
			<LastPage>81</LastPage>
			<ELocationID EIdType="pii">3083</ELocationID>
			
<ELocationID EIdType="doi">10.22075/ijnaa.2018.10724.1521</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>Ghulam</FirstName>
					<LastName>Farid</LastName>
<Affiliation>Mathematics Department, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan</Affiliation>

</Author>
<Author>
					<FirstName>Anum</FirstName>
					<LastName>Javed</LastName>
<Affiliation>Mathematics, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2017</Year>
					<Month>03</Month>
					<Day>02</Day>
				</PubDate>
			</History>
		<Abstract>In this paper we will prove certain Hadamard and Fejer-Hadamard inequalities for the functions whose nth derivatives are convex by using Caputo k-fractional derivatives. These results have some relationship with inequalities for Caputo fractional derivatives.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Convex functions</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Hadamard inequality</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Fejer-Hadamard inequality</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Caputo fractional derivatives</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://ijnaa.semnan.ac.ir/article_3083_b8b7d30ba725674609012789386a7b89.pdf</ArchiveCopySource>
</Article>
</ArticleSet>
