Sentence examples for fractional formulation from inspiring English sources

For the construction of the new problem without a fractional formulation, we recall that (F_i(X) = frac{f_{i1}(X)}{f_{i2}(X)}, X in S,) where the numerator (f_{i1}(X)) and denominator (f_{i2}(X)) functions are quadratic with (f_{i2}(X) > 0,, forall X in S).

Superiority of the fractional damping formulation over structural or viscous damping models is illustrated via experimental validation.

This paper presents a fractional programming formulation and its solution strategy for design of control Lyapunov function (CLF) to guarantee the closed-loop stability of a control affine system for the states in a specified region.

The system is modelled in a fractional flow formulation which consists of a parabolic equation (the global pressure equation) coupled with a nonlinear degenerated diffusion-convection one (the saturation equation).

We have presented another way of constructing a fractional-based convolution mask for image edge analysis using the Riemann-Liouville fractional derivative formulation.

Some recent investigations have shown that many physical systems can be represented more accurately using fractional derivative formulations.

Most of the presented models are – or can be approximated with – linear-, quadratic- or fractional-integer formulations and emphasize spatial aspects of conservation planning.

For p = 1, we can refer to the known results of the time-fractional KdV equation: formulation and solution using variational methods [41, 42].

In order to establish the weak formulation of fractional superdiffusion problems, we need to introduce a class of fractional-order spaces from [15], where they are defined by fractional derivatives, and we derive some corresponding properties related to these spaces.

Spera, F. J. & Bohrson, W. A. Energy-Constrained Open-System Magmatic Processes I: General Model and Energy-Constrained Assimilation and Fractional Crystallization (EC-AFC) Formulation.

Recently,Pal and Gupta (2009) studied a genetic algorithm to fuzzy goal programming formulation of fractional multiobjective decision-making problems.