For this reason, we better investigate fractional inclusions.
It has a non-Newtonian behavior which may be described much better using fractional derivatives.
However, when a specifically designed sonoelectrochemical reactor (not optimized) was used during the scale-up, the presence of ultrasound field provided better results (fractional conversion 97%, degradation efficiency 26%, selectivity 0.92 and current efficiency 8%) at lower ultrasonic intensities and volumetric flow.
Hysteroscopy can also evaluate cervical involvement better than fractional curettage.
This setting enables us to get identities resembling better the ordinary fractional case.
Since DDI is bounded between 0 and 1 as earlier mentioned, Papke and Wooldridge (1996) argue that such indices is a fractional/proportional data, and it can be better handled by fractional regression model proposed by the same authors.
In contrast, spectral synthesis algorithms produce stationary landscapes that better approximate true fractional Brownian motion.
However, with nmets>1, the algorithm with the network model performs better than the fractional method for the majority of primary cancer sites.
Cubic spline models are more flexible and thus may fit the data better than our fractional polynomial models, but they require arbitrary decisions on the number and locations of age 'knots', carry the potential for undesirable multiple infancy peaks and adiposity rebound points, and have limited generablizability of their fitted models due to heavy data-dependence [ 38, 39].
Thus, taking into account the memory effects are better described within the fractional derivatives, the fractional Lane-Emden equations are extracting hidden aspects for the complex phenomena they described in various field of the applied mathematics, mathematical physics, and astrophysics [2, 3].
