We provide an effective simulation to investigate the solution behavior of nine-dimensional
chaos for the fractional (Caputo-sense) Lorenz system using a new approximate technique …

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 …

In this paper, a potentially useful new method based on the Gegenbauer wavelet expansion,
together with operational matrices of fractional integral and block-pulse functions, is …

Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained
introduction to the ideas underpinning wavelet theory and its diverse applications. This book …

The article is devoted to a new computational algorithm based on the Gegenbauer wavelets
(GWs) to solve the linear and nonlinear variable-order fractional differential equations. The …

The development of a new method to solve nonlinear models and compatible with
increasing the efficiency and optimizing the results with high accuracy is difficult. Herein, we …

This paper presents the innovative Taylor wavelet collocation method (TWCM) for the stiff
systems arising in chemical reactions. In this technique, first, we generated the functional …

This research study's primary goal is to create an efficient wavelet collocation technique to
resolve a kind of nonlinear fractional order systems of ordinary differential equations that …

In this paper, we present a novel approach based on shifted Gegenbauer wavelets to attain
approximate solutions of some classed of time‐fractional nonlinear problems. First, we …

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 …