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

Baleanu, Dumitru; Fernandez, Arran

dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Fernandez, Arran
dc.date.accessioned	2019-12-19T13:51:42Z
dc.date.available	2019-12-19T13:51:42Z
dc.date.issued	2017
dc.identifier.citation	Baleanu, 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, 1-12	tr_TR
dc.identifier.issn	1417-3875
dc.identifier.uri	http://hdl.handle.net/20.500.12416/2199
dc.description.abstract	We 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.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Univ Szeged, Bolyai Institute	tr_TR
dc.relation.isversionof	10.14232/ejqtde.2017.1.15	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Fractional Derivatives	tr_TR
dc.subject	Fundamental Solutions	tr_TR
dc.subject	Linear Partial Differential Equations	tr_TR
dc.subject	Constructive Solutions	tr_TR
dc.title	A generalisation of the Malgrange-Ehrenpreis theorem to find fundamental solutions to fractional PDEs	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Electronic Journal Of Qualitative Theory Of Differential Equations	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.issue	15	tr_TR
dc.identifier.startpage	1	tr_TR
dc.identifier.endpage	12	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü	tr_TR