Sentence examples for analyzed fractional from inspiring English sources

Unlike previous methods, Takači et al. [13] analyzed fractional differential equations with fuzzy coefficients by Mikusińki fuzzy operators.

In addition to total 24-h urinary mineral content (mg/day), we analyzed fractional urinary mineral excretion (fractional excretion of calcium = [urine calcium × serum creatinine]/[serum calcium × urine creatinine] × 100%; fractional excretion of phosphate = [urine phosphate × serum creatinine]/[serum phosphate × urine creatinine] × 100%).

As Definition 1.4 demonstrates, by definition, the fractional forward difference shifts the domain of f from (mathbb {N}_{a}) to (mathbb{N}_{a+N-nu}). On the one hand, this is really just a minor irritation and causes little more than bookkeeping difficulties when analyzing fractional differences.

In this work, we present an approach for analyzing fractional-factorial data by building distribution-free models suitable for dealing with replicated trials in search of non-linear effects.

We analyzed the fractional Fourier transform and the continuous fractional wave packet transform for almost periodic signals.

Kumar et al. [14] analyzed the fractional model of a modified Kawahara equation by using a newly introduced Caputo Fabrizio fractional derivative.

Baleanu et al. in [16, 17] analyzed the fractional variational principles for some kinds of DFOCPs within the Riemann-Liouville and Caputo fractional derivatives, respectively, and made their corresponding Euler-Lagrange equations.

We have formulated and analyzed a fractional order nonlinear dynamical model of interpersonal relationships.

The interactive influence of these parameters with their effect on enzyme and biomass production was analyzed using fractional factorial central composite design (FFCCD).

In this article a new mathematical model incorporating both vaccination and quarantine to study the dynamics of Ebola epidemic has been developed and comprehensively analyzed using fractional derivative in the sense of the Caputo derivative of order (alpha in 0,1]).

Purely as an additional test of level of robustness of the 62 Myr cycle we also removed key extinction episodes from [19]'s dataset in the manner described above and analyzed the fractional biodiversity fluctuations using LS.