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In this paper, we numerically approximate the solutions of the first-order fractional differential equation system that models blood ethanol concentration using a fractional variational iteration method (FVIM) developed for high-order differential equations. Comparative analysis with two different variational iteration methods, including one specifically tailored for this problem, shows that the FVIM achieves lower approximation errors.

fractional blood ethanol concentration system, variational iteration method, Caputo fractional derivative, higher-order fractional differential equations.