[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 …

Computational analysis of a class of singular nonlinear fractional multi-order heat conduction model of the human head

M Izadi, A Atangana - Scientific Reports, 2024 - nature.com
The subject of the article is devoted to the development of a matrix collocation technique
based upon the combination of the fractional-order shifted Vieta–Lucas functions (FSVLFs) …

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 …

Fractional-order rat bite fever model: a mathematical investigation into the transmission dynamics

SR Khirsariya, MA Yeolekar, BM Yeolekar… - Journal of Applied …, 2024 - Springer
The fractional ordered mathematical model offers more insights compared to integer order
models. In this work, we analyzed fractional order rat bite fever model. We employ the …

[HTML][HTML] Wavelets collocation method for singularly perturbed differential–difference equations arising in control system

S Ahmed, S Jahan, KJ Ansari, K Shah… - Results in Applied …, 2024 - Elsevier
In this paper, we present a wavelet collocation method for efficiently solving singularly
perturbed differential–difference equations (SPDDEs) and one-parameter singularly …

[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 …

Applications of modified Bessel polynomials to solve a nonlinear chaotic fractional-order system in the financial market: Domain-splitting collocation techniques

M Izadi, HM Srivastava - Computation, 2023 - mdpi.com
We propose two accurate and efficient spectral collocation techniques based on a (novel)
domain-splitting strategy to handle a nonlinear fractional system consisting of three ODEs …

A fractal–fractional order modeling approach to understanding stem cell-chemotherapy combinations for cancer

EY Salah, B Sontakke, AA Hamoud, H Emadifar… - Scientific Reports, 2025 - nature.com
The main objective of this work is to study the mathematical model that combines stem cell
therapy and chemotherapy for cancer cells. We study the model using the fractal fractional …