Many image processing algorithms make use of derivatives. In such cases, fractional derivatives allow an extra degree freedom, which can be used to obtain better results in applications as edge detection. Published literature concentrates on grey-scale images; this paper, six detectors for colour images are implemented, and their performance is illustrated. The are: Canny, Sobel, Roberts, Lapla...

In this paper, a fractional-order model of the gas film is proposed for dynamic characteristics an air bearing. Based on common between and viscoelastic body, idea equivalent modeling presented to improve accuracy. Four (FOGF) models are introduced based generalization traditional models. The analysis FOGF shows that can capture more complex fit real data better than A genetic algorithm particl...

This paper deals with fractional-order controlled systems and fractional-order controllers in the discrete domain. The mathematical description by the fractional difference equations and properties of these systems are presented. A practical example for modelling the fractional-order control loop is shown and obtained results are discussed in conclusion.

Correspondence: gaoyingimu@163. com Department of Mathematics, Chongqing Normal University, Chongqing 400047, China Abstract In this paper, a pair of nondifferentiable multiobjective fractional programming problems is formulated. For a differentiable function, we introduce the definition of higher-order (F, a, r, d)-convexity, which extends some kinds of generalized convexity, such as second or...

the aim of this work is to describe the qualitative behavior of the solution set of a givensystem of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. in order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. this is done by the extension of ...