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A Novel Study on a Fractional-Order Heat Conduction Model for the Human Head by Using the Least-Squares Method

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dc.authorscopusid57217132593
dc.authorscopusid16303495600
dc.authorscopusid13006762400
dc.authorwosidErturk, Vedat Suat/Abd-4512-2021
dc.authorwosidKumar, Pushpendra/Aaa-1223-2021
dc.contributor.authorKumar, Pushpendra
dc.contributor.authorErturk, Vedat Suat
dc.contributor.authorHarley, Charis
dc.contributor.authorIDKumar, Pushpena/0000-0002-7755-2837
dc.date.accessioned2025-12-11T01:05:00Z
dc.date.issued2023
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Kumar, Pushpendra] Univ Johannesburg, Inst Future Knowledge, POB 524, ZA-2006 Auckland Pk, South Africa; [Erturk, Vedat Suat] Ondokuz Mayis Univ, Dept Math, TR-55200 Atakum, Samsun, Turkiye; [Harley, Charis] Univ Johannesburg, Fac Engn & Built Environm, Data Sci Disciplines Res Grp, Inst Future Knowledge, POB 524, ZA-2006 Auckland Pk, South Africaen_US
dc.descriptionKumar, Pushpena/0000-0002-7755-2837;en_US
dc.description.abstractIn this research article, a model of the temperature distribution in the human skull is considered by using the Caputo fractional derivative. When interfering thermometry is lacking, these models are quite useful in estimating the temporal course of temperatures. The given model is numerically solved with the application of the polynomial least-squares scheme. We study various fractional-order cases to simulate the proposed phenomena more clearly compared to the previously proposed integer-order studies. The motivation behind this study is to involve memory effects in the model by using fractional time derivatives.en_US
dc.description.woscitationindexEmerging Sources Citation Index
dc.identifier.doi10.1007/s40435-022-01051-y
dc.identifier.endpage1049en_US
dc.identifier.issn2195-268X
dc.identifier.issn2195-2698
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85139458828
dc.identifier.scopusqualityQ2
dc.identifier.startpage1040en_US
dc.identifier.urihttps://doi.org/10.1007/s40435-022-01051-y
dc.identifier.urihttps://hdl.handle.net/20.500.12712/41199
dc.identifier.volume11en_US
dc.identifier.wosWOS:001074766700011
dc.language.isoenen_US
dc.publisherSpringer Natureen_US
dc.relation.ispartofInternational Journal of Dynamics and Controlen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHuman Headen_US
dc.subjectHeat Conductionen_US
dc.subjectBoundary Value Problemsen_US
dc.subjectFractional Derivativesen_US
dc.subjectNumerical Methoden_US
dc.titleA Novel Study on a Fractional-Order Heat Conduction Model for the Human Head by Using the Least-Squares Methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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