A fractional-order capacitor and inductor emulator, implemented using MOS transistors, instead of passive capacitors, is introduced in this paper
On the stability of linear systems with fractional-order elements
Linear integer-order circuits are a narrow subset of rational-order circuits which are in turn a subset of fractional-order
Design and Implementation of an Optimized Artificial Human Eardrum Model
This paper introduces a fractional-order eardrum Type-II model, which is derived using fractional calculus to reduce the number of elements compared to its integer-order counterpart
Design equations for fractional-order sinusoidal oscillators: Four practical circuit examples
Four practical sinusoidal oscillators are studied in the general form where fractional-order energy storage elements are considered
An expression for the voltage response of a current-excited fractance device based on fractional-order trigonometric identities
We report a closed-form expression of the voltage response of a current-excited fractance device
FPGA implementation of a chaotic oscillator with odd/even symmetry and its application
We propose a mathematical system capable of exhibiting chaos with a chaotic attractor which is odd symmetrical in the x ? y phase plane but even symmetrical in the x ? z and y ? z phase planes respectively
Nonlinear charge-voltage relationship in constant phase element
The constant phase element (CPE) or fractional-order capacitor is an electrical device that has an impedance of the form Z(s)=1/C?s?, where C? is the CPE parameter and ? is a fractional dispersion coefficient of values between 0 and 1
Transient and Steady-State Response of a Fractional-Order Dynamic PV Model under Different Loads
In this paper, a fractional-order dynamic model of the photovoltaic (PV) solar module is introduced
Pinched hysteresis loops in non-linear resonators
This study shows that pinched hysteresis can be observed in simple non-linear resonance circuits containing a single diode that behaves as a voltage-controlled switch
Review of fractional-order electrical characterization of supercapacitors
2018Abdelkareem M.A.Allagui A.Elwakil A.S.Fouda M.E.Freeborn T.J.JournalMaundy B.J.Radwan A.G.Said Z.
The tests and calculation of the key performance metrics of supercapacitors including capacitance, power and energy stored are commonly reported by the academia and the industry based on formulæ valid only for ideal capacitors