Variable-order fractional operators were conceived and mathematically formalized only in
recent years. The possibility of formulating evolutionary governing equations has led to the …

Motivated by the importance of study on the complex behaviors, which may be exhibited by
fractional order differential equations, this review paper focuses on dynamical fractional …

Locally active memristor has become a research hotspot, and plays an important role in the
research of neural networks. In order to study the dynamic behavior of synaptic crosstalk …

Hyper-chaotic systems can exhibit a higher level of complexity in comparison with the
chaotic systems. However, they require more resources when they are realized on a …

Abstract We use the Adams-Bashforth-Moulton scheme (ABMS) to determine the
approximate solution of a variable order fractional three-dimensional chaotic process. The …

In recent years, there are numerous studies on chaotic systems with special equilibrium
curves having various shapes such as circle, butterfly, heart and apple. This paper describes …

We analyse the time-series evolution of the cumulative number of confirmed cases of COVID-
19, the novel coronavirus disease, for some African countries. We propose a mathematical …

Fractional-order chaotic oscillators are a hot topic of research and nowadays many new
mathematical models have been introduced, which can be suitable for the development of …

This paper concerns the stability analysis and controller design for a class of variable order
fractional chaotic systems. By use of Fractional Comparison Principle, the Mittag–Leffler …

Many physical processes in nature exhibit complex dynamics that result from a combination
of multiscale, nonlinear, non-local, and memory effects. Recent experimental measurements …