The fractional differential models describe many real world phenomena in different fields, i.e., biology, dynamical systems, physics, control theory, chemistry and in many other fields, in a more efficient and realistic way.
The global OPLS model describes a many-to-many relationship between microarray elements and weather parameters.
The global OPLS model describes a many-to-many relationship between microarray elements and weather parameters, but OPLS could also be used to pinpoint the weather parameters that are most important for the regulation for a particular microarray element.
The term clinical network describes many different models of networks, from those focused on service delivery systems to informal communities of practice [ 3– 6].
In summary, by applying the approximate symmetry reduction approach to perturbed coupled KdV equations which is an important physical model to describe many kinds of physical problems especially related to the two-layer fluids with unavoidable viscosity, we have unearthed that the similarity reduction solutions and similarity equations of different orders are coincident in their forms.
The Standard Model describes many aspects of ordinary matter as we know it, along with three of the four fundamental forces: the electromagnetic force, the weak force, and the strong force.
Impulsive differential equations are recognized as important models which describe many evolution processes that abruptly change their state at a certain moment.
Impulsive differential equations are a class of important models which describe many evolution processes that abruptly change their state at a certain moment.
Nonlinear partial differential equations (NLPDEs) are widely used as models to describe many important dynamical systems in various fields of science, particularly in fluid mechanics, solid state physics, plasma physics and nonlinear optics.
The model can well describe many practical architectures of delayed neural networks, which is generalization of some existing neural networks under a time-varying environment.
where Ω is a bounded domain in R N ( N ⩾ 1 ) with smooth boundary ∂ Ω. f ⩾ 0, f ≢ 0, p > 1, α ⩾ 1. Model (1.1) may describe many physical phenomena such as chemical heterogeneous catalysts, nonlinear heat transfers, some biological experiments, etc. [1 3].
