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An elliptic regularity theorem for fractional partial differential operators
(Computational and Applied Mathematics, 2018-09-01)
A generalisation of the Malgrange-Ehrenpreis theorem to find fundamental solutions to fractional PDEs
(ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017)
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 ...