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		<identifier>oai:zbc.uz.zgora.pl:87260</identifier>
	    <datestamp>2025-08-07T12:46:42Z</datestamp>
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<dc:title xml:lang="pl"><![CDATA[Exact and approximate solutions of a fractional diffusion problem with fixed space memory length]]></dc:title>
<dc:creator><![CDATA[Klimek, Małgorzata]]></dc:creator>
<dc:creator><![CDATA[Blaszczyk, Tomasz]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[fractional diffusion problem]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[series solution]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[error estimation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[fixed memory length]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[We study a fractional differential diffusion equation, where the spatial derivative is expressed by the fractional differential operator with a fixed space memory length. The exact solution of the considered problem is presented, taking into account the homogeneous Dirichlet boundary conditions. Additionally, since the solution is in the form of a trigonometric series, we also present approximate solutions in the form of the truncated series. The accuracy of the approximation is controlled by the derived bound of a approximation error.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:contributor><![CDATA[Uciński, Dariusz - red.]]></dc:contributor>
<dc:date><![CDATA[2025]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/87260/AMCS_2025_35_2_9.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/101992/edition/87260/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:87260]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 35, number 2 (2025)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=136]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:101992]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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