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- W1512793040 abstract "This paper aims at estimating the Caputo fractional derivatives for a class of signals satisfying a linear differential equation. For this purpose, an estimator for the initial conditions of the studied signal and an fractional order differentiator for the Riemann-Liouville fractional derivatives are needed. Firstly, an algebraic integral formula for the initial conditions is introduced using a generalized modulating functions method. Then, an estimator for the initial conditions is derived using a numerical integration method in discrete noisy case. Finally, a numerical example illustrates the accuracy and the robustness of the proposed method, where a recent fractional order differentiator for the Riemann-Liouville fractional derivatives is considered." @default.
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- W1512793040 date "2015-07-01" @default.
- W1512793040 modified "2023-09-24" @default.
- W1512793040 title "Caputo fractional derivative estimation for a class of signals satisfying a linear differential equation" @default.
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- W1512793040 doi "https://doi.org/10.1109/chicc.2015.7260350" @default.
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