This paper proposes a color image encryption algorithm based on a cloud model Fibonacci
chaotic system, as well as a matrix convolution operation that can protect image content …

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 …

A novel approach to solve optimal control problems dealing simultaneously with fractional
differential equations and time delay is proposed in this work. More precisely, a set of global …

This research aims to assemble two methodical spectral Legendre's derivative algorithms to
numerically attack the Lane-Emden, Bratu's, and singularly perturbed type equations. We …

The aim of this paper is to apply the newly trending Atangana-Baluanu derivative operator to
model some symbiosis systems describing commmensalism and predator-prey processes …

In this paper, we propose and analyze a novel spectral scheme for the numerical solution of
a two-dimensional time-fractional diffusion equation. The proposed scheme approximates …

This paper is devoted to develo** spectral solutions for the nonlinear fractional Klein–
Gordon equation. The typical collocation method and the tau method are employed for …

Herein, we propose new efficient spectral algorithms for handling the fractional diffusion
wave equation (FDWE) and fractional diffusion wave equation with dam** (FDWED). In …

This paper presents a new algorithm for resolving linear and non-linear second-order Robin
boundary value problems (BVPS) and the Bratu-type equations in one and two dimensions …

A new approach to finding the approximate solution of distributed-order fractional optimal
control problems (DO FOCPs) is proposed. This method is based on Fibonacci wavelets …