A New Generalized Laplace Transform and Its Applications to Fractional Bagley-Torvik and Fractional Harmonic Vibration Problems

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dc.authoridEnes Ata / 0000-0001-6893-8693
dc.authoridİsmail Onur Kıymaz / 0000-0003-2375-0202
dc.contributor.authorAta, Enes
dc.contributor.authorKıymaz, İsmail Onur
dc.date.accessioned2025-06-03T12:22:28Z
dc.date.available2025-06-03T12:22:28Z
dc.date.issued2023
dc.departmentFen Edebiyat Fakültesi
dc.description.abstractIn this paper, a new generalized Laplace transform is defined and its certain properties are given. By using the new transform, the solutions of fractional Bagley-Torvik and fractional harmonic vibration problems are obtained, as application. Also transformations of some elementary functions and the relationships between the new transform with other generalized Laplace transforms are given in separate tables.en_US
dc.identifier.citationAta, E., & Kıymaz, I. (2023). A new generalized Laplace transform and its applications to fractional Bagley-Torvik and fractional harmonic vibration problems. Miskolc Mathematical Notes, 24(2), 597-610.en_US
dc.identifier.doi10.18514/MMN.2023.4099
dc.identifier.endpage610en_US
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85167812272
dc.identifier.scopusqualityQ2
dc.identifier.startpage597en_US
dc.identifier.urihttps://10.18514/MMN.2023.4099
dc.identifier.urihttps://hdl.handle.net/20.500.12513/7380
dc.identifier.volume24en_US
dc.identifier.wosWOS:001043687500006
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUnıv Mıskolc Inst Mathen_US
dc.relation.ispartofMıskolc Mathematıcal Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectGeneralized Laplace Transformen_US
dc.subjectGeneralized İnverse Laplace Transformen_US
dc.subjectCaputo Fractional Derivativeen_US
dc.subjectFractional Order Differential Equationsen_US
dc.titleA New Generalized Laplace Transform and Its Applications to Fractional Bagley-Torvik and Fractional Harmonic Vibration Problemsen_US
dc.typeArticle

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