With advancements in the theory of fractional calculus and also with widespread engineering application of fractional-order systems, analog implementation of fractional-order integrators and differentiators have received ...

With advancements in the theory of fractional calculus and also with widespread engineering application of fractional-order systems, analog implementation of fractional-order integrators and differentiators have received ...

In the paper, general analytical formulas are introduced for the determination of equivalent impedance, magnitude, and phase, i.e. order, for n arbitrary fractional-order capacitors (FoCs) connected in series, parallel, ...

In this paper, an approach to design a fractional-order integral operator s(lambda) where -1 < lambda <0, using an analogue technique, is presented. The integrator with a constant phase angle -80.1 degree (i.e. order lambda ...

A new voltage-mode fractional-order oscillator, employing in total 12 Metal-Oxide-Semiconductor (MOS) transistors, is introduced in this paper. The proposed circuit is composed of two operational transconductance amplifiers, ...

In this paper, fractional-order transfer functions to approximate the passband and stopband ripple characteristics of a second-order elliptic lowpass filter are designed and validated. The necessary coefficients for these ...

In this paper, a fractional-order capacitor (FOC) of an order = 0.89 (i.e. constant phase angle –80.1 degree) was emulated via Valsa RC network with five branches. The network component values were optimized using modified ...

This paper deals with a voltage-mode integer- and fractional-order oscillator design providing compact and simple CMOS structure. The proposed circuit consists of only one grounded/floating capacitor, one grounded/floating ...

Parkinson’s disease dysgraphia affects the majority of Parkinson’s disease (PD) patients and is the result of handwriting abnormalities mainly caused by motor dysfunctions. Several effective approaches to quantitative PD ...

This paper concerns with a recently suggested axiomatic definition of power functions on a general time scale and its consequences to fractional calculus. Besides a discussion of existence and uniqueness of such functions, ...