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In this article, we will study the behavior of the RLC cells for the four configurations that we have presented in. We will propose an electric circuit that will be used to study the fractional behavior and robustness of these RLC operators and compare their responses to the behavior of the fractance which is an ideal fractional operator. This analysis will be studied for both natural and forced responses...
The aim of this article is to present an overview of the fractional operators such as integrators and differentiators based on resistive, inductive and capacitive components. Four different configurations of RLC based circuits that may produce a fractional behavior will be introduced. First, we will present these operators in the electrical domain than generalize our results in the bond graph representation...
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