This paper presents a brief overview of recent developments in chaos synchronization in
coupled fractional differential systems, where the original viewpoints are retained. In …

We introduce a new generalized Caputo-type fractional derivative which generalizes Caputo
fractional derivative. Some characteristics were derived to display the new generalized …

In this paper, the global projective synchronization of fractional-order neural networks is
investigated. First, a sufficient condition in the sense of Caputo's fractional derivation to …

In this paper, a class of fractional-order neural networks is investigated. First, α-exponential
stability is introduced as a new type of stability and some effective criteria are derived for …

In this paper, we present new ideas for the implementation of homotopy asymptotic method
(HAM) to solve systems of nonlinear fractional differential equations (FDEs). An effective …

Nonlinear dynamic systems and chaotic systems have been quite exhaustively researched
in the domain of cryptography. However, the possibility of using fractional chaotic systems in …

In this paper, a robust mathematical method is proposed to study a new hybrid
synchronization type, which is a combining generalized synchronization and inverse …

This paper is concerned with a fractional Caputo-difference form of Ikeda map. The
dynamics of the proposed map is investigated numerically through phase plots and …

In this work, we study chaos control and synchronization of the commensurate fractional
order Liu system. Based on the stability theory of fractional order systems, the conditions of …

In this paper, novel systems of fractional differential equations involving a new generalized
Caputo fractional derivative were proposed. The complex dynamic behavior of these …