On the properties of some operators under the perspective of fractional system theory

摘要

This paper analyses some operators recently proposed, either as alternatives, or as generalizations of classical fractional derivatives. The performance assessment, both under the point of view of system theory and signal processing, demonstrates that two approaches do not follow some systematic criteria. Therefore, this paper contributes towards a systematic and careful study of the new proposals in the scope of the fast evolving area of Fractional Calculus. (C) 2019 Elsevier B.V. All rights reserved.