At present, fractional differential is the effective mathematical approach which deals with factual problems. This projected technique employs derivatives definitions Riemann-Liouville (R-L), Grunwald-Letnikov (G-L) and caputo for denoising medical image. The presented method based on derivative in turn improves quality of input image processed integer order such as pre-processing operation, co...

The Grunwald-Winstein type analyses with respect to Ycl scale on the specific rates of solvolysis of extremely crowded tertiary alkyl chlorides having a neopentyl or a (1-adamanty1)methyl group at the reaction center show that they behave as k, substrates. The neopentyl group is more effective in backside shielding than a tertiary butyl group. There are now many unprecedented examples that show...

The objectives of this study were to conduct a prevalence survey of trichomoniasis in pregnant women and to evaluate the utility of different methods for its diagnosis. A total of 597 vaginal exudates from pregnant women who were examined at the Hospital de Clinicas in Buenos Aires, Argentina from 1 August 2005 to 31 January 2007, were prospectively and consecutively evaluated. The investigatio...

Fractional order partial differential equations are generalizations of classical partial differential equations. Increasingly, these models are used in applications such as fluid flow, finance and others. In this paper we examine some practical numerical methods to solve a class of initial- boundary value fractional partial differential equations with variable coefficients on a finite domain. S...

The aim of this paper is to study the high order difference scheme for the solution of a fractional partial differential equation (PDE) in the electroanalytical chemistry. The space fractional derivative is described in the Riemann-Liouville sense. In the proposed scheme we discretize the space derivative with a fourth-order compact scheme and use the Grunwald- Letnikov discretization of the Ri...

this study develops and analyzes preconditioned krylov subspace methods to solve linear systemsarising from discretization of the time-independent space-fractional models. first, we apply shifted grunwald formulas to obtain a stable finite difference approximation to fractional advection-diffusion equations. then, we employee two preconditioned iterative methods, namely, the preconditioned gene...

This paper is devoted to the analysis of calculation methods for solving fractional chaotic systems and impact these different approaches on behavior system. Two widely used time domain differential equations are discussed, ABM corrector-predictor method based Caputo derivative definition, long memory approach Grunwald derivative. These numerical solutions employed depict phase portrait a class...

In the paper an algorithm for automatic detection of red blood cells in microscopic images is described and investigated. For this purpose digital microscopic images stained by means of the MGG (May-Grunwald-Giemsa) method are applied. This method consists in three main stages. The first one is composed of the conversion to binary image using the modified histogram thresholding. The second one ...