In recent years, fractional differential equations are widely used in the many academic disciplines--viscoelastic mechanics, Fractal theory and so on. Furthermore, fractional differential equations can be used to describe some abnormal phenomenon. For instance, fractional convection-diffusion equation...

For a Hausdorff space , we denote by the collection of all closed subsets of . In this paper, we discuss the connectedness and locally connectedness of hyperspace endowed with the vietoris topology. Further path connectedness is investigated. The results generalize some theorems of E. Micheal.

A Fullerene with pentagons, hexagons, and heptagons is considered. The number of carbons is 458. It contains 8 heptagonal rings, 21 pentagons, and 212 hexagons.

The paper shows that the balanced implicit method reproduces the moment exponentially stable for hybrid stochastic differential equation. The balanced implicit method has better behavior of stability in comparison with the explicit Euler-Maruyama method. Experiments simulation indicates that the balanced...

Paper deals with mathematical modelling of impulse waveforms and impulse switching functions used in electrical engineering. Impulse rectangular waveforms are created by periodical trigonometric functions with modulo , so, the waveforms are discontinuous and strongly non-harmonic ones. Impulse switching...

For nonlinear systems (NLS), the estimator design is a crucial and important problem. In this paper, projection-filter-method (PFM) based state estimation approach is proposed to NLS. As the weak solution of stochastic differential model of NLS is denoted by the Kolmogorov's forward equation, this paper...

Based on association rules and fuzzy pattern theory, this paper presents a data mining model to extract patterns using two-dimensional fuzzy pattern rules, focusing on the discretization of the time series of dependent and independent variables. The referential vector distance is established as a similarity...

A Newton iteration method is proposed based on the analytic method of segmental catenary for the suspension cable. The method is developed from the Newton iteration method for the nonlinear equations according to the analysis of different common methods. The tangent stiffness matrix of the iteration...

This paper deals with the asymptotic behavior of Runge-Kutta methods for linear delay-integro-differential-algebraic equations. It was shown that R-K of A-stability preserves the asymptotic stability of the equations under some conditions if applied to the equations.

This paper presents an hybrid algorithm based on genetic algorithm and ant colony optimization for continuous optimization, which combines the global exploration ability of the former with the local exploiting ability of the later. The proposed algorithm is evaluated on several benchmark functions. The...

Quantitatively evaluating the harmonic responsibility of harmonic source at the point of common coupling (PCC) is an important task of power quality management. Considering the change of background harmonic and the fact that the current monitoring system can only provide the voltage and current statistical...

Social Security Administration analysis is studied based on intensive probe to present social fluctuation researches. A complex social system model is constructed by profile vector of complex system. According to the character of the complex social system, a simplified algorithm based on deep learning...

Problems of resources for free often be associated with personal interests. Personal beliefs make people choose to get resources differ in time,so-called first come first served rule. So people access to resources constitute a game under the conflict of interests. In this paper, we study two men’s personal...

Current decision making processes often involve uncertain information obtained from a number of sources. In addition the available data might be incomplete and/or collected at different time periods, i.e. its significance may require adjustments. In many cases experiments cannot be repeated and conclusions...

Selection of an optimal knowledge assessment method appears to be a multiple criteria decision making problem among many other things. There is hardly any doubt that working with humans knowledge is always done in the presence of uncertainties. It is also not a secret that a large number of experts in...

We synthesized the quasi-likelihood and maximum likelihood algorithms for the detection of a free-form signal with unknown amplitude and duration against Gaussian white noise. We illustrated the methods for calculation of the characteristics of their operating effectiveness and also we found the analytical...

Based on the biological control strategy in the pest management, we studied a predator-prey model with delayed stage structure and impulsive control. Using the theories and methods of impulsive delayed differential equations, we obtain the sufficient conditions, which guarantee the global attractivity...

In this paper, the time-frequency distribution property of Time-Phase modulation (TPM) signal is discussed based on nonstationary signal analyzing method. And the mapping relationship between abrupt phase change and time-frequency distribution amplitude in TPM signal is further explored, whereby a TPM...

The economic growth rate of China has gradually present a downward trend after 30 years sustained high-speed growth. Therefore, the improvement of economic efficiency and the optimization of industrial structure is a necessary requirement for sustainable development of China's economy. This paper not...

We study the effects of production delays on the local as well as on global dynamics of nonlinear Cobweb model in a continuous-time frame- work. After reviewing a single delay model, we proceed to two models with two delays. When the two delays are used to form an expected price or feedback for price...

As modern people have higher expectations for banking services and hope to get perfect services, the banking service satisfaction is more and more important, and competition among banks grows with each passing day. Therefore, I studied service satisfaction rating among banks so as to improve the relationship...