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We used a collocation method in refinable spline space to solve a lineardynamical system having fractional derivative in time. The method takesadvantage of an explicit derivation rule for the B-spline basis that allows usto efficiently evaluate the collocation matrices appearing in the method. Weproof the convergence of the method. Some numerical results are shown.

A Collocation Method in Spline Spaces for the Solution of Linear Fractional Dynamical Systems