Recently, operational matrices were adapted for solving several kinds of fractional
differential equations (FDEs). The use of numerical techniques in conjunction with …

The primary focus of this research study is in the development of an effective hybrid matrix
method to solve a class of nonlinear systems of equations of fractional order arising in the …

In this study, we present the new generalized derivative and integral operators which are
based on the newly constructed new generalized Caputo fractal–fractional derivatives …

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 propose the wavelet operational method based on shifted Legendre
polynomial to obtain the numerical solutions of nonlinear fractional-order chaotic system …

This paper introduces a new numerical approach to solving a system of fractional differential
equations (FDEs) using the Legendre wavelet operational matrix method (LWOMM). We first …

In this paper, we focus on the local stability of the fractionalorder Brusselator chemical
reaction system (FOBS) with incommensurate order for the first time, which is a famous …

In this paper, the dynamic properties for a Brusselator-type system with diffusion are
investigated. By employing the theory of Hopf bifurcation for ordinary and partial differential …

This paper presents an approximate solution of nonlinear fractional differential equations
(FDEs) that exhibit an oscillatory behavior by using a metaheuristic technique. The solutions …

In this paper we apply the recently introduced Polynomial Least Squares Method (PLSM) to
compute approximate analyticalpolynomial solutions for the Bagley-Torvik fractional …