The aim of this paper is to introduce and analyze a novel fractional chaotic system including
quadratic and cubic nonlinearities. We take into account the Caputo derivative for the …

In this paper, a short review of the calculus of exact finite-differences of integer order is
proposed. The finite-difference operators are called the exact finite-differences of integer …

This paper is to explore the dynamical analysis and active control synthesis for improving
seaport operations through system optimization. First, the multi-dimensional system of the …

Hyper-chaotic systems have useful applications in engineering applications due to their
complex dynamics and high sensitivity. This research is supposed to introduce and analyze …

This research paper implements the fractional homotopy analysis transform technique to
compute the approximate analytical solution of the nonlinear three-species food chain …

In this paper, numerical solution of the Burgers–Huxley (BH) equation is presented based on
the nonstandard finite difference (NSFD) scheme. At first, two exact finite difference schemes …

This paper deals with three-dimensional (3D) model of competitive Lotka-Volterra equation
to investigate nonlinear dynamics and control strategy of container terminal throughput and …

In this paper, numerical solution of the FitzHugh–Nagumo (FN) equation is presented based
on the nonstandard finite-difference (NSFD) scheme. At first, two exact finite-difference …

In this paper, an explicit exact finite-difference scheme for the Huxley equation is presented
based on the nonstandard finite-difference (NSFD) scheme. Afterwards, an NSFD scheme is …

ABSTRACT Simulating Lotka-Volterra model using a numerical method requires the
researcher to apply tiny mesh sizes to come up with an accurate solution. This approach will …