[HTML][HTML] An efficient method for the fractional electric circuits based on Fibonacci wavelet

S Ahmed, K Shah, S Jahan, T Abdeljawad - Results in Physics, 2023 - Elsevier
In this article, we provide effective computational algorithms based on Fibonacci wavelet
(FW) to approximate the solution of fractional order electrical circuits (ECs). The proposed …

Fractional-order system modeling and its applications

K Kothari, UV Mehta, R Prasad - Journal of Engineering …, 2019 - repository.usp.ac.fj
In order to control or operate any system in a closed-loop, it is important to know its behavior
in the form of mathematical models. In the last two decades, a fractional-order model has …

Fractional order battery modelling methodologies for electric vehicle applications: Recent advances and perspectives

JP Tian, R **ong, WX Shen, FC Sun - Science China Technological …, 2020 - Springer
Accurate modelling of lithium ion batteries is crucial for battery management in electric
vehicles. Recent studies have revealed the fractional order nature of lithium ion batteries …

Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives

EK Akgül - Chaos: An Interdisciplinary Journal of Nonlinear …, 2019 - pubs.aip.org
The main goal of this work is to find the solutions of linear and nonlinear fractional
differential equations with the Mittag-Leffler nonsingular kernel. An accurate numerical …

Dynamical behaviours and fractional alphabetical-exotic solitons in a coupled nonlinear electrical transmission lattice including wave obliqueness

E Fendzi-Donfack, E Tala-Tebue, M Inc… - Optical and Quantum …, 2023 - Springer
We investigate through the ansatz and auxiliary equation methods novel types of solitary
wave solutions for (2+ 1)-D coupled nonlinear electrical transmission lattice with wave …

Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense

OA Arqub, B Maayah - Chaos, Solitons & Fractals, 2019 - Elsevier
This article is concerned with design and comprehensive study of a numerical approach for
solving Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense. The …

New approaches to the fractional dynamics of schistosomiasis disease model

M Yavuz, E Bonyah - Physica A: Statistical Mechanics and its Applications, 2019 - Elsevier
In this paper, schistosomiasis fractional order dynamic model is examined via exponential
law kernel sense and Mittag-Leffler kernel in Liouville–Caputo sense. Some special …

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 …

A comparative mathematical analysis of RL and RC electrical circuits via Atangana-Baleanu and Caputo-Fabrizio fractional derivatives

KA Abro, AA Memon, MA Uqaili - The European Physical Journal Plus, 2018 - Springer
This research article is analyzed for the comparative study of RL and RC electrical circuits by
employing newly presented Atangana-Baleanu and Caputo-Fabrizio fractional derivatives …

Construction of fractional series solutions to nonlinear fractional reaction–diffusion for bacteria growth model via Laplace residual power series method

MN Oqielat, T Eriqat, Z Al-Zhour, O Ogilat… - International Journal of …, 2023 - Springer
In this paper, a new Laplace residual power series (LRPS) algorithm has been constructed
to yield approximate series solutions (ASSs) of the nonlinear fractional differential system …