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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…
math.NA2015
Numerical solution for fractional variational problems using the Jacobi polynomials
Hassan Khosravian-Arab, Ricardo Almeida
We exhibit a numerical method to solve fractional variational problems, applying a decomposition formula based on Jacobi polynomials. Formulas for the fractional derivative and fra…