In this research, we aim to propose a new fractional model for human liver involving Caputo–
Fabrizio derivative with the exponential kernel. Concerning the new model, the existence of …

The Lotka‐Volterra (LV) system is an interesting mathematical model because of its
significant and wide applications in biological sciences and ecology. A fractional LV model …

In this paper, a nonlinear fractional order epidemic model for HIV transmission is proposed
and analyzed by including extra compartment namely exposed class to the basic SIR …

The scaling exponent of a hierarchy of cities used to be regarded as a fractional. This paper
investigates a newly constructed system of equation for Hepatitis B disease in sense of …

The purpose of this paper is to analyze and control the hyperchaotic behaviours of a
biological snap oscillator. We mainly study the chaos control and synchronization of a …

In this work, a system of three masses on the vertices of equilateral triangle is investigated.
This system is known in the literature as a planar system. We first give a description to the …

In this paper, we aim to analyze the complicated dynamical motion of a quarter-car
suspension system with a sinusoidal road excitation force. First, we consider a new …

Computers and electronics play an enormous role in today's society, impacting everything
from communication and medicine to science. The development of computer-related …

Based on a new definition for derivative and integral of fractional-order, several fractional
masks have been presented for the use of image denoising. In each method, the process …

The SIR epidemic model with delay in the context of the fractional derivative with Mittag–
Leffler kernel has been considered. The Atangana–Baleanu fractional derivative is a non …