In this paper we adapt the well-known parametric approach from fractional programming to solve a class of fractional programs with a noncompact feasible region. Such fractional problems belong to an important class of single component preventive maintenance models. Moreover, for a special but important subclass we show that the subproblems occurring in this parametric approach are easy solvable...

BACKGROUND AND PURPOSE White matter abnormalities have been demonstrated to play an important role in minimal hepatic encephalopathy. In this study, we aimed to evaluate whether WM diffusion tensor imaging can be used to identify minimal hepatic encephalopathy among patients with cirrhosis. MATERIALS AND METHODS Our study included 65 patients with cirrhosis with covert hepatic encephalopathy ...

‎in this paper‎, ‎we introduce fractional-order into a model of hiv-1 infection of cd4^+ t--cells‎. ‎we study the effect of ‎the changing the average number of viral particles $n$ with different sets of initial conditions on the dynamics of‎ ‎the presented model‎. ‎ ‎the nonstandard finite difference (nsfd) scheme is implemented‎ ‎to study the dynamic behaviors in the fractional--order hiv-1‎‎i...

Abstract: In this article, a mathematical model of HIV infection is developed using fractional-order differential equation consisting uninfected CD4+T cells, infected CD4+T cells and CTL effectors (i.e. immune response cells). The fractional order model possesses non-negative solutions. The system has three equilibria: infectionfree equilibrium, infected equilibrium and CTL equilibrium. Stabili...

High order sliding mode controller (HOSMC) is proposed for blood glucose regulation. With this aim a novel concept of Practical Relative Degree (PRD) and a method of its identification are suggested. First, for PRD identification method is applied for the most simple (Bergman Minimal Model) and the most complicated (Sorensen Model) models concluding that the common PRD for both models is three....

Humans genetically predisposed to hypertension tend to develop at a prehypertensive stage subtle metabolic and hormonal dysregulations, and certain of these could potentially be angiotensin II dependent. Therefore the aim of this study was to investigate the effects of the angiotensin II-receptor antagonist losartan on insulin sensitivity, lipid profile, and plasma endothelin-1 (ET-1) levels in...

The performance of water flooding can be investigated by using either detail numerical modeling or simulation, or simply through the analytical Buckley-Leverett (BL) model. The Buckley-Leverett analytical technique can be applied to one-dimensional homogeneous systems. In this paper, the impact of heterogeneity on water flooding performance and fractional flow curve is investigated. First, a ba...

The purpose of this survey paper is to recall the major benchmarks of the theory of linear extremal problems in Hardy spaces and to outline the current status and open problems remaining in Bergman spaces. We focus on the model extremal problem of maximizing the norm of the linear functional associated with integration against a polynomial of finite degree, and discuss known solutions of partic...

In this article, we investigate sufficient conditions for existence of maximal and minimal solutions to a coupled system of highly nonlinear differential equations of fractional order with mixed type boundary conditions. To achieve this goal, we apply monotone iterative technique together with the method of upper and lower solutions. Also an error estimation is given to check the accuracy of th...