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In our view, the best way is to start with fundamental principles appearing in nature, and after that to apply fractional techniques.
The approach takes the attractive advantages of the ELLAM method and the fractional step technique.
Then the fractional calculus technique is applied to extract the oil particle signature from the low-resonance component.
The fractional polarization/stress technique was applied to obtain the distribution of relaxation/retardation times.
A DNS code is developed, based on a hybrid Fourier pseudospectral-finite difference discretization and the fractional step technique, to numerically assess the controller.
A test matrix that spans the operating ranges of the sun-planet gear pair of a wind turbine gearbox is constructed using the Fractional Factorial technique to rank the order of the influences of contact pressure, rolling velocity, slide-to-roll ratio, roughness amplitude and run-in process.
To overcome this issue, we apply the fractional programming technique [29] to transform the objective function to an integral expression.
To solve this issue, we transform the objective function into a concave one by using the fractional programming technique developed in [22].
The procedure of relative permeability measurement by steady state equilibrium fractional flow technique was discussed in the work of Dernaika et al. (2013) as shown in Fig. 9.
Average daily consumption was included as an untransformed continuous variable, again following the fractional polynomial technique.
Pack-years were included as a log-transformed continuous variable, which showed statistically the best model fit using the fractional polynomial technique [ 23].
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