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Abstract
One of the main purposes of this work is to generalize the design concept of the oscillators based on different active building blocks into the fractional order domain. One of the objectives of this work is to merge between the fractional-order calculus and two port networks which is suitable for many applications. A prototype of fractional order two port network oscillators is investigated. Two families of oscillators are introduced, one with extra two impedance and the other with extra three impedances along with the two port network. Furthermore, three different optimization cases for normalized fractional order low pass filters (LPFs) with numerical, circuit and experimental results are investigated. A multi-objective optimization technique is used for controlling some filter specifications, which are the transition bandwidth, the stop band frequency gain and the maximum allowable peak in the filter pass band. All the proposed circuits are verified through numerical analysis using matlab, spice circuit simulations and experimental results are given to validate the presented analysis