Numerical Simulations of Fractional Systems: An Overview of Existing Methods and Improvements

Frequency-band complex noninteger differentiator: characterization and synthesis

A. Oustaloup, François Levron, B. Mathieu et al. · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2000 · 1.7K citations

High-frequency Device, Mixed-signal Integrated Circuit, Engineering Sciences +3

Analogue Realizations of Fractional-Order Controllers

Igor Podlubný, Ivo Petráš, Blas M. Vinagre et al. · Nonlinear Dynamics · 2002 · 617 citations

Stability properties for generalized fractional differential systems

Denis Matignon · ESAIM Proceedings · 1998 · 574 citations · Full text

Fractional-order System, Fractional Dynamic, Discrete Dynamical System +8

Discretization schemes for fractional-order differentiators and integrators

YangQuan Chen, Kevin L. Moore · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2002 · 559 citations

Numerical Analysis, Pade Approximant, Discretization Methods +9

An analog simulation of non-integer order transfer functions for analysis of electrode processes

M. Ichise, Yutaka Nagayanagi, T. Kojima · Journal of Electroanalytical Chemistry · 1971 · 473 citations

Numerical Analysis, Electrical Engineering, Engineering +13