The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …

Increasing electrical energy consumption during peak hours leads to increased electrical
energy losses and the spread of environmental pollution. For this reason, demand-side …

Data security has gained importance over the years. Thus, cryptology is becoming a more
popular phenomenon. In cryptology applications, a chaotic system with third-or higher-order …

In this study, the synchronization problem of chaotic systems using integral-type sliding
mode control for a category of hyper-chaotic systems is considered. The proposed control …

Chaos-based communications are a promising application of chaos theory and nonlinear
dynamics. Their key features include concealed transmission, high security, and native …

Chaotic analog circuits are commonly used to demonstrate the physical existence of chaotic
systems and investigate the variety of possible applications. A notable disparity between the …

A five-dimensional hyperchaotic system is a dynamical system with five state variables that
exhibits chaotic behavior in multiple directions. In this work, we incorporated a 5D …

In this study, an adaptive nonsingular finite time control technique based on a barrier
function terminal sliding mode controller is proposed for the robust stability of n th-order …

In this paper, a new multistable chaotic system with memristor and memcapacitor for
fractional-order is constructed. A chaotic oscillator of parallel memcapacitor and memristor is …

The fractional differential quadrature method (FDQM) with generalized Caputo derivatives is
used in this paper to show a new numerical way to solve fractional Riccati equations and …