Given the increasing number of proposals and definitions of operators in the scope of
fractional calculus, it is important to introduce a systematic classification. Nonetheless, many …

A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …

Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …

Fractional centred differences and derivatives definitions are proposed, generalizing to real
orders the existing ones valid for even and odd positive integer orders. For each one …

A brief introduction to the fractional continuous-time linear systems is presented. It will be
done without needing a deep study of the fractional derivatives. We will show that the …

Fractional systems and fractional control have received great attention recently, both from an
academic and an industrial viewpoint, because of their increased flexibility (with respect to …

In order to reduce the radiation dose of the X-ray computed tomography (CT), low-dose CT
has drawn much attention in both clinical and industrial fields. A fractional order model …

The actual state of interplay between Fractional Calculus, Signal Processing, and Applied
Sciences is discussed in this paper. A framework for compatible integer and fractional …

The book illustrates the theoretical results of fractional derivatives via applications in signals
and systems, covering continuous and discrete derivatives, and the corresponding linear …

In this paper, a parallel-type fractional zero-phase filtering technique based on the center
Grünwald–Letnikov differintegrator is proposed. We first present a left and a right Grünwald …