TY - JOUR
T1 - On the properties of some operators under the perspective of fractional system theory
AU - Ortigueira, Manuel D.
AU - Machado, José Tenreiro
PY - 2020/3/1
Y1 - 2020/3/1
N2 - 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.
AB - 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.
KW - Fractional calculus
KW - Fractional derivatives
KW - Index law
UR - http://www.scopus.com/inward/record.url?scp=85072821006&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2019.105022
DO - 10.1016/j.cnsns.2019.105022
M3 - Article
AN - SCOPUS:85072821006
SN - 1007-5704
VL - 82
JO - Communications In Nonlinear Science And Numerical Simulation
JF - Communications In Nonlinear Science And Numerical Simulation
M1 - 105022
ER -