Baleanu, DumitruFernandez, Arran2019-12-192019-12-192017Baleanu, 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, 1-121417-3875http://hdl.handle.net/20.500.12416/2199We 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.eninfo:eu-repo/semantics/openAccessFractional DerivativesFundamental SolutionsLinear Partial Differential EquationsConstructive SolutionsA generalisation of the Malgrange-Ehrenpreis theorem to find fundamental solutions to fractional PDEsA Generalisation of the Malgrange-Ehrenpreis Theorem To Find Fundamental Solutions To Fractional PdesArticle1511210.14232/ejqtde.2017.1.15