In recent years, there has been greater attempt to find numerical solutions of differential equations using wavelet's methods. The following method is based on vector forms of Haar-wavelet functions. In this paper, we will introduce one dimensional Haar-wavelet functions and the Haar-wavelet operational matrices of the fractional order integration. Also the Haar-wavelet operational matrices of ...

BACKGROUND Myocarditis can be difficult to diagnose in the Emergency Department (ED) due to the lack of classic symptoms and the wide variation in presentations. Poor cardiac contractility is a common finding in myocarditis and can be evaluated by bedside ultrasound. OBJECTIVE To demonstrate the utility of fractional shortening measurements as an estimation of left ventricular function during...

We derive conditions on the functions ', , v and w such that the 0–1 fractional programming problem max x2f0I1gn 'ıv.x/ ıw.x/ can be solved in polynomial time by enumerating the breakpoints of the piecewise linear functionˆ. / D max x2f0I1gn v.x/ w.x/ on Œ0IC1/. In particular we show that when ' is convex and increasing, is concave, increasing and strictly positive, v and w are supermodular and...

This paper deals with fuzzy goal programming approach to multi-objective linear plus linear fractional programming problem based on Taylor series approximation. In the model formulation of the problem, we first construct the membership functions by determining individual optimal solutions of the objective functions subject to the system constraints. The membership functions are then transformed...

In this paper, we exhibit two methods to numerically solve the fractional integro differential equations and then proceed to compare the results of their applications on different problems. For this purpose, at first shifted Jacobi polynomials are introduced and then operational matrices of the shifted Jacobi polynomials are stated. Then these equations are solved by two methods: Caputo fractio...

Objective To evaluate the effect of diosmin and hesperidin flavonoids in the prevention of amphotericin B nephrotoxicity, through an experimental model on rats. Method Adult, male Wistar rats were distributed into the following groups: saline; diosmin hesperidin (animals that received 50 mg/kg of diosmin hesperidin, drinking water, for ten days); amphotericin B (animals that received 15 mg/kg/d...

The aim of this study is to investigate multi-dimensional vector variational problems considering data uncertainty in each the objective functional and constraints. We establish robust necessary sufficient efficiency conditions such that any feasible solution could be weakly efficient for under consideration. Emphatically, we present scalar, vector, fractional by using notion a convex functional.

A fractional-order cumulative optimization GM(1,2) model based on grey theory is proposed to study the relationship between torpedo loading and working reliabilities. In this model, average relative error function related order background value established. Taking as objective function, optimal of two parameters obtained through method, minimum determined. The calculation example shows that met...