We introduce the concept of fractional-order two-port networks with particular focus on impedance and admittance parameters. We show how to transform a 2 × 2 impedance matrix with fractional-order impedance elements into an equivalent matrix with all elements represented by integer-order impedances; yet the matrix rose to a fractional-order power. Some examples are given. © 2016 M. E. Fouda et al

Three circuit models using constant phase elements are investigated to represent the human body impedance against contact currents from 40 Hz to 110 MHz. The parameters required to represent the impedance are determined using a nonlinear least squares fitting (NLSF) applied to the averaged human body impedance dataset. The three fractional-order models with 4, 6, and 7 parameters are compared to

This paper demonstrates a low power 6-bit single-ended voltage-based Capacitance-to-Digital Converter (CDC) circuit based on a charge redistribution technique and Successive Approximation Register (SAR) logic operating at 370 kHz sampling rate. A proposed realization of a SAR logic control unit integrated with a low power comparator is introduced where the system blocks are entirely built on the

Fractional-order calculus is the branch of mathematics which deals with non-integerorder differentiation and integration. Fractional calculus has recently found its way to engineering applications; particularly electronic circuits with promising results showing the feasibility of fabricating fractional-order capacitors on silicon. Fractionalorder capacitors are lossy non-deal capacitors with an

This paper presents a generalization of well-known phase shift oscillator based on single CCII into the fractional order domain. The general state matrix, characteristic equation and design equations are presented. The general oscillation frequency, condition and the phase difference between the oscillatory outputs are introduced in terms of the fractional order parameters. These parameters add

In this paper, a general analysis of the generation for all possible fractional order oscillators based on two-port network is presented. Three different two-port network classifications are used with three external single impedances, where two are fractional order capacitors and a resistor. Three possible impedance combinations for each classification are investigated, which give nine possible

In this paper, a generalized fractional-order form of the simulated inductor using a single current feedback operational amplifier (CFOA) and a fractional-order capacitor is introduced. Analytical expression of the equivalent fractionalorder inductor versus the circuit elements is achieved. Moreover, the effect of the parasitic impedance and the non-idealities of the CFOA are investigated

This paper introduces a study to generalize the design of a continuous time filters into the fractional order domain. The study involves inverting and non-inverting filters based on CFOA where three responses are extracted which are high-pass, band-pass and low-pass responses. The proposed study introduces the generalized formulas for the transfer function of each response with different

This paper introduces for the first time the generalized concept of the mutual inductance in the fractional-order domain where the symmetrical and unsymmetrical behaviors of the fractional-order mutual inductance are studied. To use the fractional mutual inductance in circuit design and simulation, an equivalent circuit is presented with its different conditions of operation. Also, simulations for

This paper studies the synchronization of two coupled neurons using Fitzhugh-Nagumo model in the fractional-order domain. In general, studying systems in the fractional-order domain provides a wider scope view of their behavior. When the neuron is generalized into the fractional-order domain, the normal behaviors displayed in the integer case change. Furthermore, two neurons display various