Exploring the use of fractional calculus is essential for it to be used properly in various applications. Implementing the fractional operator Dα in FPGA is an important research topic in fractional calculus; in the literature, only a few FPGA implementations have been proposed due to the memory dependence of the fractional order systems. In this paper, FPGA implementations of fractional order

This paper introduces two FPGA based design approaches of the fractional order integrator and differentiator using Grünwald Letnikov (GL) definition where fixed window and linear approximation approaches are considered. The main advantage of the linear approximation method is that it reduces the huge memory of the fractional order systems. One of the top applications of fractional calculus is the

In this paper, complete analysis and design for fractional-order oscillators based on double Op-Amp are presented. The fractional order parameters enrich the oscillator design by offering the extra degree of freedom which adds more flexibility to the design. Two oscillators with double op-Amp are introduced. The oscillation frequency, condition, phase difference and the characteristic equation for

A novel resistorless topology for implementing fractional-order capacitor emulators, based on the employment of Operational Transconductance Amplifiers (OTAs) as active elements, is presented in this paper. The benefits of this topology are its simplicity in terms of component count, compared to other existing topologies in the literature, in addition to its electronic tunability. The performance

In this paper a simple private communications system is proposed based on Chua's chaotic system. The system mainly consists of two synchronized chaotic circuits, the system encodes values to a message function according to the state of synchronization between the two circuits. Numerical simulations were carried out to prove the validity of the system, and spice simulations were carried out on the

This paper presents a new hybrid chaos synchronization scheme, which assures the co-existence of the full-state hybrid function projective synchronization (FSHFPS) and the inverse full-state hybrid function projective synchronization (IFSHFPS) between wide classes of three-dimensional master systems and four-dimensional slave systems. In order to show the capability of co-existence approach

The mathematical formulae of six topologies of fractional-order Colpitts oscillator are introduced in this paper. Half of these topologies are based on MOS transistor, and the other half is based on BJT transistor. The design procedure for all of these topologies is proposed and summarized for each one. Stability analysis is very crucial in oscillators’ design, as oscillators should have its poles

In this paper, a generalized floating emulator block is proposed using grounded elements. The proposed emulator is a universal emulator that is used to realize any floating elements such as fractional-order element (FOE) and fractional-order memelements (FOME). Different implementations for the introduced emulator are presented using different active blocks and generalized impedances. The

The wooden industry depends heavily on logging activities which have negative impacts on the environment and a shortage of supply. The industry is starting to depend on composite boards from agricultural waste materials. Composite boards have been shown in the literature. However, some wooden applications still depend on hardwoods. Besides, most of these composite boards use synthetic formaldehyde

Recently, perovskite solar cells (PSCs) exhibits tremendous power conversion efficiency and has shown enhanced figures of merit being secured regarding cell stability. In this paper, perovskite solar cell with Zno electron injection layer is presented. The humidity degradation of the perovskite active layer and the efficiency of the cell is observed under several conditions. Using ZnO as a planner