Due to the importance of its integer order counterpart in many mathematical and engineering fields, the fractional order Hermite polynomials are studied in this paper. A fractional variation of the well known Hermite differential equation is introduced based on Caputo fractional operator. The proposed equation is solved using fractional Taylor power series method and the convergence is verified using truncated series for different values of the parameters. The condition for fractional polynomial solution is obtained and the first four polynomials are scaled using an appropriate scaling factor

This paper proposes a new design for ternary logic comparator unit based on memristive threshold logic concept. To provide high-performance design, integrating memristor and Carbon Nano-Tube Field-Effect Transistor, CNTFET, is used. A comparison with other related work is presented to discuss performance aspects. It shows that performance has been improved by 75% compared with the other related work. Therefore, the proposed design is very promising to build high-performance full ternary ALU memristor-based unit. © 2018 IEEE.

Electrochemical Impedance Spectroscopy (EIS) has been used as a technique for the assessment of food attributes. This paper discusses the effect of injuries caused by heating and freezing treatments to plant's bioimpedance. Unlike other studies to these kinds of injuries, experiments are carried out on the whole fruit using non-invasive electrodes keeping the plant tissues unharmed. Moreover, one of the samples under test was chosen to be a ripening fruit to discuss how its bioimpedance behavior differ from non-ripening ones. The experimental results showed how the damage caused by freezing

This paper theorizes the possibilities of generalizing a memristor based ternary adder circuit, to a memristor based multi-valued logic adder. The proposition tries to achieve the theoretical advantages of processing different numbering systems, increasing the density, and decreasing the processing time, by utilizing the memristor properties and dynamics. This is done using a memristor cell based circuit structure. The memristor is quantized to more levels in order to accommodate more values of logic being processed. Quinary numbering system is used to demonstrate the generalization, then a

This paper generalizes the Izhikevich neuron model in the fractional-order domain for better modeling of neuron dynamics. Accurate and computationally efficient numerical techniques such as non-standard finite difference (NSFD) scheme is used to solve the neuron system in the fractional-order domain for different cases. Neuron synchronization plays an important role in the process of information exchange among coupled neurons. The general formula for the synchronization of different Izhikevich neurons is proposed. Also, the synchronization of two and three neurons are studied at different

Memristive threshold logic (MTL) concept is emerged in many circuits to enable high-performance systems in terms of power, energy, area, and delay. This paper proposes a systematic method for building two-bit ternary number functions based on the MTL concept. The proposed method is applied to build the basic ternary arithmetic operations. The implementation of two-bit adder and multiplier is presented in the unbalanced ternary number representation. The proposed designs are verified by using VTEAM memristor and Stanford CNTFET transistor models. Finally, a comparison between the proposed

This manuscript investigates the synchronization between a novel integer order hyperchaotic system and a fractional order hyperchaotic system. The controllers are constructed using the technique of tracking controller and the stability theory of the linear fractional order system. Chaotic analysis of the introduced novel integer order hyperchaotic system is also investigated. The Lyapunov exponent, bifurcation diagram, Poincare section, Kaplan-Yorke dimension, equilibria and phase portraits are given to justify the chaotic nature of the system. Theoretical results are supported with the

This paper presents a secure and efficient substitution box (s-box) for speech encryption applications. The proposed s-box data changes every clock cycle to swap the input signal with different data, where it generated based on a new algorithm and a memristor chaotic system. Bifurcation diagrams for all memristor chaotic system parameters are introduced to stand for the chaotic range of each parameter. Moreover, the effect of each component inside the proposed encryption system is studied, and the security of the system is validated through perceptual and statistical tests. The size of the

Convolutional Neural Networks (CNNs) for Artificial Intelligence (AI) algorithms have been widely used in many applications especially for image recognition. However, the growth in CNN-based image recognition applications raised challenge in executing millions of Multiply and Accumulate (MAC) operations in the state-of-The-Art CNNs. Therefore, GPUs, FPGAs, and ASICs are the feasible solutions for balancing processing speed and power consumption. In this paper, we propose an efficient hardware architecture for CNN that provides high speed, low power, and small area targeting ASIC implementation

Soft pneumatic actuators grasping tasks is one of the essential rules in robot manipulation methods. The grasping forces can be adapted to handle delicate and hard objects without leaving any damages on the object surfaces. This paper investigates the influence of the inclination angle of the soft pneumatic actuator (SPA) on its gripping force at its end tip. A range of inclination angles for SPA is analyzed using Finite Element Analysis (FEA) to estimate the gripping force at the end tip regarding SPA inner faces pressure. FEA study is conducted based on Hyperelastic material modeling