Product integration (PI) rules are well known numerical techniques that are used to solve differential equations of integer and, recently, fractional orders. Due to the high memory dependency of the PI rules used in solving fractional-order systems (FOS), their hardware implementation is very difficult and resources-demanding. In this paper, modified versions of the PI rules are introduced to

Chaotic systems have remarkable importance in capturing some complex features of the physical process. Recently, fractional calculus becomes a vigorous tool in characterizing the dynamics of complex systems. The fractional-order chaotic systems increase the chaotic behavior in new dimensions and add extra degrees of freedom, which increase system controllability. In this chapter, FPGA

This paper discusses the implementation sensitivity of chaotic systems added to their widely discussed sensitivities to initial conditions and parameter variation. This sensitivity can cause mismatches in some applications, which require an exact duplication of the system, e.g., chaos-based cryptography, synchronization and communication. Specifically, different implementation cases of three

Carrier mobility for quantum dot infrared photodetectors is considered as one of the critical parameters to determine many important device’s performance parameters such as the electrical conductivity, drift velocity, dark current and photocurrent. In this paper a complete theoretical model of the carrier mobility for semispherical quantum dot structures is developed. This model is based on the

The Cole–Davidson function is an efficient tool for describing the tissue behavior, but the conventional methods of approximation are not applicable due the form of this function. In order to overcome this problem, a novel scheme for approximating the Cole–Davidson function, based on the utilization of a curve fitting procedure offered by the MATLAB software, is introduced in this work. The

The efficiency of the hardware implementations of fractional-order systems heavily relies on the efficiency of realizing the fractional-order derivative operator. In this work, a generic hardware implementation of the fractional-order derivative based on the Grünwald–Letnikov’s approximation is proposed and verified on a field-programmable gate array. The main advantage of this particular

Concentrated Solar Power (CSP) systems have a good potential as a renewable energy candidate that are based on converting the incident solar thermal energy to an electrical energy. In this paper, CSP using spot Fresnel lens instead of traditional lenses is presented to enhance the efficiency of the system, where Silicon Carbide (SiC) is used as a coating material for the receiver of the system due

In this paper, we present a quadrature-phase oscillator that can provide four output voltages while operating from a single 0.5 V supply. The oscillator is based on two cross-coupled modified differential pair cells and provides signals with a phase difference of ±180° or ±90° depending on the chosen output nodes. A test chip with an active area of 0.175 mm2 was designed and fabricated in a 65-nm

Energy and clean energy are big concerns and interests. As the needs differ from area to another, different solutions appear. Energy cost, availability, reliability and trading rules are important keys in energy market. Energy sharing is a hot topic as a consumer being a part of the sustainable distributed system also making benefits such as Prosumer. Blockchain technology provides more secure

Fractional-order lead/lag compensator realizations, using Operational Transconductance Amplifiers as active blocks, are presented in this paper. Two different types of fractional-order transfer functions, derived from the integer-order lead/lag compensator transfer function, are used to describe the behavior of the fractional-order compensator. Both types are approximated using the Padé