This paper is concerned with establishing novel expressions that express the derivative of
any order of the orthogonal polynomials, namely, Chebyshev polynomials of the sixth kind in …

The main target of this work is presenting two efficient accurate algorithms for solving
numerically one of the most important models in physics and engineering mathematics …

In the presented work, we present an accurate procedure, which is the spectral method, to
find a solution to a certain class of the very important fractional (described by the Liouville …

A primary aim of this study is to examine and simulate a fractional Coronavirus disease
model by providing an efficient method for solving numerically this important model. In the …

We consider both primal and dual formulations of singular autonomous systems of three
different types of fractional‐order differential equations. We present a comprehensive study …

This paper considers the hyperparameter optimization problem of mathematical techniques
that arise in the numerical solution of differential and integral equations. The well-known …

This work introduces a computational method for solving the time-fractional cable equation
(TFCE). We utilize the tau method for the numerical treatment of the TFCE, using …

The applications and the fields that use the anomalous sub-diffusion equations cannot be
easily listed due to their wide area. Sure, one of the main physical reasons for using and …

Obtaining an analytical representation of the solutions of nonlinear differential equations has
been a challenge for many years. This difficulty is particularly pronounced when these …

Anomalous Reaction-Sub-diffusion equations play an important role transferred in a lot of
our daily applications in our life, especially in applied chemistry. In the presented work, a …