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Fractional calculus in electronic circuits: A review
Fractional-order (FO) systems offer a unique flexibility of arbitrary slope matching in system
gain which is not possible in conventional circuit theory. This has made application of …
gain which is not possible in conventional circuit theory. This has made application of …
A modeling and analysis method for fractional-order DC–DC converters
This paper proposes a modeling and analysis method for fractional-order dc-dc converters
operating in continuous conduction mode (CCM). As an example, a fractional-order boost …
operating in continuous conduction mode (CCM). As an example, a fractional-order boost …
Practical realization of tunable fractional order parallel resonator and fractional order filters
This paper introduces a tunable fractional order parallel resonator (FOPR) whose resonating
frequency can be tuned by the coefficient of a fractional order (FO) element (fractor). At the …
frequency can be tuned by the coefficient of a fractional order (FO) element (fractor). At the …
A survey of single and multi-component Fractional-Order Elements (FOEs) and their applications
Fractional-Order circuits and networks being a widely researched field lags in its
development due to the non-availability of its basic building block ie Fractional-Order …
development due to the non-availability of its basic building block ie Fractional-Order …
Realization of fractional order elements
Fractional order (FO) element (FOE) is the building block for realization of FO systems, an
important research domain. However, the realization of FO system is still a challenge. Till …
important research domain. However, the realization of FO system is still a challenge. Till …
A systematic procedure for deriving RC networks of fractional-order elements emulators using MATLAB
G Tsirimokou - AEU-International Journal of Electronics and …, 2017 - Elsevier
The behavior of a fractional-order capacitors can be approximated using appropriately
configured RC networks, which implement an integer-order impedance/admittance function …
configured RC networks, which implement an integer-order impedance/admittance function …
Electronically tunable fully integrated fractional-order resonator
A fully integrated implementation of a parallel fractional-order resonator that employs
together a fractional-order capacitor and a fractional-order inductor is proposed in this brief …
together a fractional-order capacitor and a fractional-order inductor is proposed in this brief …
Approximated fractional order Chebyshev lowpass filters
We propose the use of nonlinear least squares optimization to approximate the passband
ripple characteristics of traditional Chebyshev lowpass filters with fractional order steps in …
ripple characteristics of traditional Chebyshev lowpass filters with fractional order steps in …
Comparative study of discrete component realizations of fractional-order capacitor and inductor active emulators
Due to the absence of commercially available fractional-order capacitors and inductors, their
implementation can be performed using fractional-order differentiators and integrators …
implementation can be performed using fractional-order differentiators and integrators …
Fractional-order inductor: Design, simulation, and implementation
Fractional calculus has tremendous potential in modeling the evolution of complex systems
including those with memory. Indeed, fractional-order models are more accurate in …
including those with memory. Indeed, fractional-order models are more accurate in …