This work aims to provide a new Galerkin algorithm for solving the fractional Rayleigh-
Stokes equation (FRSE). We select the basis functions for the Galerkin technique to be …

In this research, we present a new computational technique for solving some physics
problems involving fractional-order differential equations including the famous Bagley …

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) …

In this research paper, we investigate the numerical solutions of the nonlinear complex
Layla and Majnun fractional mathematical model, which describes the emotional behavior of …

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 research, we present a fractional-order mathematical model that simulates the
ongoing phenomenon of marriage and divorce, which significantly impacts human lives. The …

This work deals with the distributed-order time fractional nonlinear diffusion-wave equations.
These equations are generated by replacing the first-and second-order time derivative terms …

This paper presents a new way to solve numerically multiterm variable-order fractional
differential equations (MTVOFDEs) with initial conditions by using a class of modified shifted …

Here, we provide a new method to solve the time-fractional diffusion equation (TFDE)
following the spectral tau approach. Our proposed numerical solution is expressed in terms …

In this study, two numerical methods [(a) artificial neural network method with three layers
(input layer, hidden layer, output layer) and (b) least squares support vector regression (LS …