In the present paper, we implement a novel numerical method for solving differential
equations with fractional variable-order in the Caputo sense to research the dynamics of a …

A new set of differential and integral operators has recently been proposed by Abdon et al.,
merging the fractional derivative and the fractal derivative, taking into account non-locality …

An optimal control scheme is proposed to stabilize complex networks in finite time.
Furthermore, since it is costly and impractical to control a network by applying controllers to …

A three‐dimensional autonomous deterministic chaotic system having six parameters is
explored within this article. The dynamical characteristics of the proposed system are …

This paper discusses the complex dynamics of a new four-dimensional continuous-time
autonomous hyperchaotic Lorenz-type system. The local dynamics, such as the stability …

Control of a new chaotic fractional-order system using Mittag-Leffler stability Page 1
NONLINEAR STUDIES - www.nonlinearstudies.com Vol. 22, No. 4, pp. 1-13, 2015 c⃝ CSP …

In this paper, a new set of differential and integral operators has recently been proposed by
Abdon et al. by merging the fractional derivative and the fractal derivative, taking into …

This paper presents a new chaotic system that exhibits a two wing (2W) chaotic attractor in
its integer order dynamics, three-wing (3W) and four-wing (4W) chaotic attractors in its …

In this paper, a new technique is introduced for chaos secure data communication. In this
approach, in addition to the usually used techniques for data encryption, the concept of …

In this article, we investigate globally exponentially attractive sets and chaos synchronization
for a hyperchaotic system, namely, Lorenz–Stenflo system. For this system, two ellipsoidal …