This book aims to propose the implementation and application of Fractional Order Systems
(FOS). It is well known that FOS can be utilized in control applications and systems …

Chaos is one of the most significant findings in physics and engineering. Fractional-order
chaotic systems are nonlinear systems with special features which, some of them include …

In this paper, we study the stability of n-dimensional linear fractional differential equation
with time delays, where the delay matrix is defined in (R+) n× n. By using the Laplace …

In this paper, we further discuss the properties of three kinds of fractional derivatives: the
Grünwald–Letnikov derivative, the Riemann–Liouville derivative and the Caputo derivative …

The purpose of this paper is to offer a unified discussion of variable-order differential
operators in anomalous diffusion modeling. The characteristics of the new models, in …

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

In this work we discuss a boundary value problem for a coupled differential system of
fractional order. The differential operator is taken in the Riemann–Liouville sense and the …

This paper presents the nonlinear systems of Volterra‐type fractional integro‐differential
equation solutions through a Chebyshev pseudospectral method. The proposed method is …

This paper deals with the problem of existence and uniform stability analysis of fractional-
order complex-valued neural networks with constant time delays. Complex-valued recurrent …

Fractional calculus has been found to be a promising area of research for information
processing and modeling of some physical systems. In this paper, we propose a fractional …