Abstract
This paper presents the analog realizations and the numerical evaluation of the second definition given by Lorenzo and Hartley of the variable fractional order integrator Iα(t){.} using an analog dynamical model. The analog realization of Iα(t){.} is obtained using an analog realization based on Charef s approximation of an adjustable fractional order integrator and the numerical evaluation of Iα(t){.} is obtained as the time response of its proposed analog dynamical model. The efficiency and the accuracy of the proposed Iα(t){.} numerical evaluation results obtained are compared to the ones of Lorenzo and Hartley using illustrative examples.
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