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math.NA2016
A discretization of the Hadamard fractional derivative
Ricardo Almeida, Nuno R. O. Bastos
We present a new discretization for the Hadamard fractional derivative, that simplifies the computations. We then apply the method to solve a fractional differential equation and a…
math.NA2015
A numerical method to solve higher-order fractional differential equations
Ricardo Almeida, Nuno R. O. Bastos
In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation form…