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The solution obtained by the aforementioned method is valid for the equation governed by both integer and fractional derivatives.
A variety of examples covering both integer and fractional systems and reference models are presented to show the validity of the technique.
Arbitrary-order orbital angular momentum multiplexing (AOAMM) systems utilize OAM modes with both integer and fractional topological charges which are non-orthogonal.
The authors in [143] only consider integer frequency offsets and the particular work may be extended considering both integer and fractional frequency offsets.
The empirical results from the regressions of the ex-day share price drops on both integer and fractional parts of dividends showed that estimated intercepts were significantly negative, and slopes were significantly different from 1 regardless of dividend classifications.
In this paper, we demonstrate that an arbitrary order (including both integer and fractional orders) Hilbert transform (HT) of an input optical waveform can be implemented by a simple and practical phase-shifted fiber Bragg grating (PSFBG) operated in reflection mode.
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Both integer and fractional-order PPF allowed for the effective control of the second mode of vibration.
The proposed LMIs for stability are obtained based on the Nyquist stability theorem and can be applied to both integer and fractional-order (not necessarily commensurate) processes which are either stable or have one unstable pole.
For this purpose, first the internal model principle is employed to transform the fractional dynamic system with disturbance into an undisturbed system with both integer- and fractional-order derivatives.
The algorithm has a reliable result which is illustrated by several examples, and hence is practically useful in the analysis and design of feedback control for both integer- and fractional-order systems having time delays.
If the CFO is greater than the subcarrier spacing, a receiver has to estimate and compensate for both the integer and fractional parts of the normalized CFO.
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