Numerical solutions of fractional-order electrical rlc circuit equations via three numerical techniques

U Arshad, M Sultana, AH Ali, O Bazighifan… - Mathematics, 2022 - mdpi.com
In this article, three different techniques, the Fractional Perturbation Iteration Method (FPIA),
Fractional Successive Differentiation Method (FSDM), and Fractional Novel Analytical …

[HTML][HTML] Controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications

Z Al-Zhour - Alexandria Engineering Journal, 2022 - Elsevier
In this work, we discuss the controllability and observability behaviors of a non-
homogeneous conformable fractional dynamical system (C-FDS) based on the conformable …

Numerical simulation of fractional-order dynamical systems in noisy environments

ZS Mostaghim, BP Moghaddam… - … and Applied Mathematics, 2018 - Springer
In this paper, the fully discrete scheme is proposed based on the Simpson's quadrature
formula to approximate fractional-order integrals for noisy signals. This strategy is extended …

Role of bi-order Atangana–Aguilar fractional differentiation on Drude model: an analytic study for distinct sources

KA Abro, A Atangana, JF Gomez-Aguilar - Optical and Quantum …, 2021 - Springer
The Drude model has captured minds of many researchers in the past decades because this
model is able to explain the transport properties of electrons in materials more precisely …

The effect of the parameters of the generalized fractional derivatives on the behavior of linear electrical circuits

A Gabr, AH Abdel Kader, MS Abdel Latif - International Journal of Applied …, 2021 - Springer
This paper presents the analytical solutions of two fractional linear electrical systems
modeled with generalized fractional derivatives and integrals. The fractional differential …

[HTML][HTML] Stability analysis of electrical RLC circuit described by the Caputo-Liouville generalized fractional derivative

N Sene - Alexandria Engineering Journal, 2020 - Elsevier
We consider an electrical RLC circuit in two-dimensional spaces described by a fractional-
order derivative. We propose the qualitative properties of the proposed model. We analyze …

On applications of elements modelled by fractional derivatives in circuit theory

J Gulgowski, TP Stefański, D Trofimowicz - Energies, 2020 - mdpi.com
In this paper, concepts of fractional-order (FO) derivatives are reviewed and discussed with
regard to element models applied in the circuit theory. The properties of FO derivatives …

Qualitative analysis of RLC circuit described by Hilfer derivative with numerical treatment using the Lagrange polynomial method

MI Abbas - Fractal and Fractional, 2023 - mdpi.com
This paper delves into an examination of the existence, uniqueness, and stability properties
of a non-local integro-differential equation featuring the Hilfer fractional derivative with order …

Mathematical and statistical analysis of RL and RC fractional-order circuits

NA Sheikh, DLC Ching, S Ullah, I Khan - Fractals, 2020 - World Scientific
The RL and RC circuits are analyzed in this research paper. The classical model of these
circuits is generalized using the modern concept of fractional derivative with Mittag-Leffler …

Fundamental fractional exponential matrix: new computational formulae and electrical applications

Z Al-Zhour - AEU-International Journal of Electronics and …, 2021 - Elsevier
It is well known that the fundamental fractional exponential matrix (FFEM) is closely related
to the formal solution of the homogeneous and non-homogeneous linear time-conformable …