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 …

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 chemical reaction process, mathematical modeling of certain experiments lead to
Brusselator system of equations. In this article, the dynamical behaviors of reaction …

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 …

In this paper, we present a three-step iterative approach for solving the fractional Brusselator
model. The fractional derivatives are described in the Caputo, Caputo-Fabrizio, and …

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, we study a singular second-order fractional Emden-Fowler problem. The
reproducing kernel Hilbert space method (RKHSM) is employed to compute an …

In this work, we present numerical analysis for nonlinear multi‐term time fractional
differential equation which involve Caputo‐type fractional derivatives for. The proposed …

This paper reports new modified Jacobi polynomials (MJPs). We derive the basis
transformation between MJPs and Bernstein polynomials and vice versa. This …

This work presents a general framework for solving generalized fractional differential
equations based on operational matrices of the generalized Bernstein polynomials. This …