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A generalisation of the Malgrange-Ehrenpreis theorem to find fundamental solutions to fractional PDEs

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dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorFernandez, Arran
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-19T13:51:42Z
dc.date.available2019-12-19T13:51:42Z
dc.date.issued2017
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractWe present and prove a new generalisation of the Malgrange-Ehrenpreis theorem to fractional partial differential equations, which can be used to construct fundamental solutions to all partial differential operators of rational order and many of arbitrary real order. We demonstrate with some examples and mention a few possible applications.en_US
dc.identifier.citationBaleanu, Dumitru; Fernandez, Arran (2017). A generalisation of the Malgrange-Ehrenpreis theorem to find fundamental solutions to fractional PDEs, Electronic Journal Of Qualitative Theory Of Differential Equations, 15, 1-12en_US
dc.identifier.doi10.14232/ejqtde.2017.1.15
dc.identifier.endpage12en_US
dc.identifier.issn1417-3875
dc.identifier.issue15en_US
dc.identifier.startpage1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2199
dc.language.isoenen_US
dc.publisherUniv Szeged, Bolyai Instituteen_US
dc.relation.ispartofElectronic Journal Of Qualitative Theory Of Differential Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Derivativesen_US
dc.subjectFundamental Solutionsen_US
dc.subjectLinear Partial Differential Equationsen_US
dc.subjectConstructive Solutionsen_US
dc.titleA generalisation of the Malgrange-Ehrenpreis theorem to find fundamental solutions to fractional PDEstr_TR
dc.titleA Generalisation of the Malgrange-Ehrenpreis Theorem To Find Fundamental Solutions To Fractional Pdesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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