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 …

In this paper, we present a pioneering investigation on the fractional Hamiltonian amplitude
equation involving the beta fractional derivative for the first time, addressing a research gap …

This study introduces a new fractional order Fibonacci wavelet technique proposed for
solving the fractional Bagley-Torvik equation (BTE), along with the block pulse functions. To …

In this paper, the fractional Schrödinger equation is described with beta derivative, which is
used to elucidate the dynamic interaction of ultra-short pulses with quantum properties in …

The aim of this study is to develop the Fibonacci wavelet method together with the quasi‐
linearization technique to solve the fractional‐order logistic growth model. The block‐pulse …

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 …

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 …

This study concentrates on time fractional convection–diffusion equations (TFCDEs) with
variable coefficients and their numerical solutions. Caputo derivative is used to calculate the …

In this paper, we present a wavelet collocation method for efficiently solving singularly
perturbed differential–difference equations (SPDDEs) and one-parameter singularly …

This article introduces a proficient method for solving both linear and nonlinear second-
order singular value differential equations within the framework of Fibonacci wavelets and …