Fractional calculus has been studied for over three centuries, and it has multifarious
applications in science and engineering. This review investigates its progress since the first …

Many real dynamic systems are better characterized using a non-integer order dynamic
model based on fractional calculus or, differentiation or integration of non-integer order …

This monograph covers some selected problems of positive fractional 1D and 2D linear
systems. It is an extended and modified English version of its preceding Polish edition …

Accurate modeling of many dynamic systems leads to a set of Fractional Differential
Equations (FDEs). This paper presents a general formulation and a solution scheme for a …

Studies on analysis, design and applications of analog and digital differentiators and
integrators of fractional order is the main objective of this paper. Time and frequency domain …

The main subject of the monograph is the fractional calculus in the discrete version. The
volume is divided into three main parts. Part one contains a theoretical introduction to the …

For fractional-order differentiator s/sup r/where r is a real number, its discretization is a key
step in digital implementation. Two discretization methods are presented. The first scheme is …

Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus.
Nevertheless, the application of FC just emerged in the last two decades, due to the …

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 …

Stability analysis of fractional differential system with Riemann–Liouville derivative -
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