[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 …

Numerical solution of time-fractional telegraph equations using wavelet transform

M Mulimani - International Journal of Dynamics and Control, 2024 - Springer
This study solves the time-fractional telegraph equations with Dirichlet boundary conditions
using a novel and effective wavelet collocation method based on Taylor wavelets. In the …

Adopted spectral tau approach for the time-fractional diffusion equation via seventh-kind Chebyshev polynomials

WM Abd-Elhameed, YH Youssri, AG Atta - Boundary Value Problems, 2024 - Springer
This study utilizes a spectral tau method to acquire an accurate numerical solution of the
time-fractional diffusion equation. The central point of this approach is to use double basis …

Numerical approximation of fractional SEIR epidemic model of measles and smoking model by using Fibonacci wavelets operational matrix approach

G Manohara, S Kumbinarasaiah - Mathematics and Computers in …, 2024 - Elsevier
In the present article, we have considered two essential models (The epidemic model of
measles and the smoking model). Across the globe, the primary cause of health problems is …

[HTML][HTML] Shifted fractional order Gegenbauer wavelets method for solving electrical circuits model of fractional order

P Yadav, S Jahan, KS Nisar - Ain Shams Engineering Journal, 2023 - Elsevier
This study introduces a novel numerical approach based on shifted fractional-order
Gegenbauer wavelets. The technique aims to provide approximate solutions for a certain …

[HTML][HTML] Fibonacci wavelet method for the numerical solution of a fractional relaxation–oscillation model

S Jahan, S Ahmed, P Yadav, KS Nisar - Partial Differential Equations in …, 2023 - Elsevier
In this paper, we have discussed the Fibonacci wavelet (FW) framework for numerical
simulations of the fractional relaxation–oscillation model (FROM). Firstly, the fractional order …

Novel approach by shifted Schröder polynomials for solving the fractional Bagley-Torvik equation

NM Yassin, EH Aly, AG Atta - Physica Scripta, 2024 - iopscience.iop.org
Novel approach by shifted Schröder polynomials for solving the fractional Bagley-Torvik
equation - IOPscience Skip to content IOP Science home Accessibility Help Search all …

[PDF][PDF] Novel Approach by shifted Fibonacci polynomials for solving the fractional Burgers equation

MH Alharbi, AF Abu Sunayh, AG Atta… - Fractal and …, 2024 - researchgate.net
This paper analyzes a novel use of the shifted Fibonacci polynomials (SFPs) to treat the
timefractional Burgers equation (TFBE). We first develop the fundamental formulas of these …

African sovereign risk premia and international market assets: A relook under the COVID-19 outbreak

G Amewu, NK Akosah, M Armah - Heliyon, 2024 - cell.com
Using the wavelet multiscale coherence technique, the paper examines the
interdependences between global market assets, sovereign credit default swap (CDS) and …

Improved Numerical Approach for Bagley–Torvik Equation Using Fractional Integral Formula and Adams–Moulton Method

Y Jeon, S Bu - Journal of Computational and …, 2024 - asmedigitalcollection.asme.org
In this paper, we introduce a numerical technique for solving Bagley–Torvik equations which
plays an outstanding role in fractional calculus. To handle the derivatives and fractional …