Exploring the implementation of fractional calculus is essential to be adequately used in several applications. This paper introduces an FPGA design methodology of fractional order multi-scrolls chaotic system. Hardware resources comparison proves the efficiency of the proposed method. The designs are simulated using Xilinx ISE 14.7 and realized on FPGA Xilinx Artix 7. Different interesting

This paper introduces an approximate solution for Liouville-Caputo variable order fractional differential equations with order 0

This paper proposes a general prototype fractional order filter based on a two-port network concept with four external impedances. Three induced classifications from the general prototype are extracted with one, two and three external impedances, achieving ten possible generalized topologies. The external impedances are fractional-order elements and resistors. There are forty-six filters divided

To implement an approximation of the fractional order Laplacian operator s α as a weighted sum of high pass filter sections, it is essential to extract the cutoff frequencies and filter gains of each section in order to achieve the lowest error possible. Therefore, in this work, five meta-heuristic optimization algorithms are tested in this problem based on a weighted sum objective function. The

Chebyshev filter is one of the most commonly used prototype filters that approximate the ideal magnitude response. In this paper, a simple and fast approach to create fractional order Chebyshev-like filter using its integer order poles is discussed. The transfer functions for the fractional filters are developed using the integer order poles from the traditional filter. This approach makes this

A new second-order MOS transistor based circuit block approximating the behavior of a fractional-order capacitor is proposed. The circuit is modular and therefore the order of the approximation can be increased by more stages of the same circuit in cascade or in parallel. Simulation results using a TSMC 65nm CMOS technology are provided and show less than 2o of phase error in two decades around

One of the important applications of chaotic oscillators is their employment as sources of entropy for True Random Bit Generators (TRBGs). In this work, we introduce high-speed TRBGs realized on a modular Field Programmable Gate Array (FPGA) hardware platform using two different switching-type chaotic oscillators. While both oscillators are autonomous, one is 3-D and the other is 4-D. This enables

A new class of differential oscillators comprising ten possible circuits is introduced in this work. Half of the members of this family are LC-based oscillators and the other half are RC-based ones. While all oscillators are second-order, a maximum of four resistors was imposed as a restriction on possible oscillators that belong to the proposed architecture. Only two of the found oscillators are

A new class of quadrature phase oscillators based on cross-coupled differential pairs is introduced. This class contains eight possible circuits which produce four output voltages with phase differences of ±π or ±π/2, depending on the choice of output node, and does not require balanced differential-pair loads. Phase error analysis is provided along with experimental and simulation results using

This paper proposes the realization of grounded and floating fractional order mem-elements (FOMEs) based on two- and three-port mutators, respectively. Three different topologies based on two-port mutators are implemented using the four members of the second-generation current conveyor (CCII) family which is useful to achieve several realizations for the same circuit. The Fractional Order Mem