Studies on fractional order differentiators and integrators: A survey

By Dr. T. K. Battula. Signal Processing, 2011

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A Comparative Analysis of Laguerre-Based Approximators to the Grünwald-Letnikov Fractional-Order Difference (2015, methodology): “We refer the reader to the excellent surveys of the state of the art in discretization of fractionalorder derivatives [9–15], providing a broad spectrum of the discretizationmachinery.”
Conceptual design of a selectable fractional-order differentiator for industrial applications (2014, background): “The use of RC ladders [8, 30] have been exercised since the mid-20th century for realizing fractional-order elements [1, 7, 10, 11], but the approximation results were disappointing—having only a very limited bandwidth with a high number of components.”
An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov–Petrovskii–Piskunov Equation (2019, background): “Another example of an element with fractional order is fractance, which is an electrical circuit with non-integer order impedance that has both resistance and capacitance properties [14].”
Dα‐Type Iterative Learning Control for Fractional‐Order Linear Time‐Delay Systems (2013, methodology): “Furthermore, fractional order controllers have been implemented to enhance the robustness and the performance of the control systems [11].”