Browsing Department of Materials Science and Metallurgy by Author "Fernandez, Arran"
Now showing items 1-3 of 3
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A generalisation of the Malgrange-Ehrenpreis theorem to find fundamental solutions to fractional PDEs
(ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017)
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An elliptic regularity theorem for fractional partial differential operators
(Computational and Applied Mathematics, 2018-09-01)
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The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel
(SpringerAdvances in Difference Equations, 2018-12-01)We establish analogues of the mean value theorem and Taylor’s theorem for fractional differential operators defined using a Mittag-Leffler kernel. We formulate a new model for the fractional Boussinesq equation by using ...