Approximate analytical methods for a fractional-order nonlinear system of Jaulent–Miodek equation with energy-dependent Schrödinger potential

S Alshammari, MM Al-Sawalha, R Shah - Fractal and Fractional, 2023 - mdpi.com
In this paper, we study the numerical solution of fractional Jaulent–Miodek equations with
the help of two modified methods: coupled fractional variational iteration transformation …

FPGA implementation of two fractional order chaotic systems

MF Tolba, AM AbdelAty, NS Soliman, LA Said… - … -International Journal of …, 2017 - Elsevier
This paper discusses the FPGA implementation of the fractional-order derivative as well as
two fractional-order chaotic systems where one of them has controllable multi-scroll …

Fractional calculus in electronic circuits: A review

A Tapadar, FA Khanday, S Sen, A Adhikary - Fractional Order Systems, 2022 - Elsevier
Fractional-order (FO) systems offer a unique flexibility of arbitrary slope matching in system
gain which is not possible in conventional circuit theory. This has made application of …

A survey of single and multi-component Fractional-Order Elements (FOEs) and their applications

ZM Shah, MY Kathjoo, FA Khanday, K Biswas… - Microelectronics …, 2019 - Elsevier
Fractional-Order circuits and networks being a widely researched field lags in its
development due to the non-availability of its basic building block ie Fractional-Order …

Experimental comparison of integer/fractional-order electrical models of plant

A AboBakr, LA Said, AH Madian, AS Elwakil… - … -International Journal of …, 2017 - Elsevier
In this paper, different integer and fractional-order models are studied from electrical point of
view, these models are used to fit the measured impedance data for different types of fruits …

Generalized fractional logistic map encryption system based on FPGA

SM Ismail, LA Said, AA Rezk, AG Radwan… - … -International Journal of …, 2017 - Elsevier
This paper introduces the design of a generalized fractional order logistic map suitable for
pseudorandom number key generators and its application in an encryption system based on …

FPGA implementation of the fractional order integrator/differentiator: Two approaches and applications

MF Tolba, LA Said, AH Madian… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Exploring the use of fractional calculus is essential for it to be used properly in various
applications. Implementing the fractional operator D α in FPGA is an important research …

Parameter identification of fractional-order chaotic systems using different meta-heuristic optimization algorithms

DA Yousri, AM AbdelAty, LA Said, AS Elwakil… - Nonlinear …, 2019 - Springer
Fractional-order chaotic systems (FOCS) parameter identification is an essential issue in
chaos control and synchronization process. In this paper, different recent Meta-heuristic …

Chaotic flower pollination and grey wolf algorithms for parameter extraction of bio-impedance models

D Yousri, AM AbdelAty, LA Said, AS Elwakil… - Applied Soft …, 2019 - Elsevier
Precise parameter extraction of the bio-impedance models from the measured data is an
important factor to evaluate the physiological changes of plant tissues. Traditional …

All possible topologies of the fractional-order Wien oscillator family using different approximation techniques

O Elwy, LA Said, AH Madian, AG Radwan - Circuits, Systems, and Signal …, 2019 - Springer
This paper introduces all the possible topologies of the Wien bridge oscillator family. This
family has 72 topologies, 24 of them contain only RC or RL pairs, and the rest contain mixed …