Product integration (PI) rules are well known numerical techniques that are used to solve differential equations of integer and, recently, fractional orders
The fractional-order modeling and synchronization of electrically coupled neuron systems
In this paper, we generalize the integer-order cable model of the neuron system into the fractional-order domain, where the long memory dependence of the fractional derivative can be a better fit for the neuron response
Enhanced FPGA realization of the fractional-order derivative and application to a variable-order chaotic system
The efficiency of the hardware implementations of fractional-order systems heavily relies on the efficiency of realizing the fractional-order derivative operator
A general emulator for fractional-order memristive elements with multiple pinched points and application
In this paper, X-controlled universal fractional-order memelements (FOMEs) emulator is proposed
Generalized switched synchronization and dependent image encryption using dynamically rotating fractional-order chaotic systems
This paper presents a generalization, attractor control and multi-scroll generation method for fractional-order chaotic systems through rotation transformation
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
On the Analysis and Design of Fractional-Order Chebyshev Complex Filter
This paper introduces the concept of fractional-order complex Chebyshev filter
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