Sentence examples for modeled with fractional from inspiring English sources

Most of the real physical problems can be best modeled with fractional differential equations.

Many physical and chemical phenomena can be modeled with fractional differential equations.

Nonlinear partial fractional equations are very effective for the description of many physical phenomena such as rheology, the damping law, diffusion processes, and the nonlinear oscillation of an earthquake can be modeled with fractional derivatives [1, 2].

Besides, the nonlinear oscillation of earthquake can be modeled with fractional derivatives [8], and the fluid-dynamic traffic model with fractional derivatives can eliminate the deficiency arising from the assumption of continuum traffic flow [9].

The anomalous nature of the flow is usually modeled with fractional-order time derivatives replacing those of integer order in classical stress-strain relations.

The primary climatic factors, such as, temperature and rainfall, have been used in prediction of malaria risk by Ye et al [21] through a binary logistic regression modeling with fractional polynomial transformations.

Fractional calculus provides an alternative approach where complex dynamical systems can be modeled with compact fractional equations that not only can still guarantee analytical solutions, but can also enable high levels of order reduction without compromising on accuracy.

This study concerns the structural systems in which additional damping was introduced by means of viscoelastic (VE) dampers modeled with the fractional derivative models.

It is concluded that the value of the natural frequency of the beam modeled with a fractional damper is greater than that of the beam modeled with a classical damper.

In this study, the effects of the damping term modeled with a fractional derivative on the dynamic analysis of a beam having viscoelastic properties subject to the harmonic external force are investigated.

The rheological behavior of these cells can be modeled with the following fractional differential equation [3]: (3.1).