We study the unsplittable flow on a path problem (UFP) where we are given a path with non-negative edge capacities and tasks, which are characterized by a subpath, a demand, and a profit. The goal is to find the most profitable subset of tasks whose total demand does not violate the edge capacities. This problem naturally arises in many settings such as bandwidth allocation, resource constraine...

The practical stability of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov like function along the given fractional differential equation. Comparison results using this definition for scalar fractional differential equations are presented. Several ...

In this paper, a comparative study of Picard method, Adomian method and Predictor-Corrector method are presented for fractional integral equation. In Picard method [6] a uniform convergent solution for the fractional integral equation is obtained. Also, for Adomian method, we construct a series solution see ([1], [5] and [7]). Finally, Predictor-Corrector method is used for solving fractional i...

Modern Information and Communication Technology (ICT)-based applications utilize current technological advancements for purposes of streaming data, as a way adapting to the ever-changing landscape. Such efforts require providing accurate, meaningful, trustworthy output from sensors particularly during dynamic virtual sensing. However, ensure that sensing ecosystem is devoid any sensor threats o...

Exposure to traffic-generated ultrafine particles (UFP; particles <100 nm) is likely a risk factor for cardiovascular disease. We conducted a trial of high-efficiency particulate arrestance (HEPA) filtration in public housing near a highway. Twenty residents in 19 apartments living <200 m from the highway participated in a randomized, double-blind crossover trial. A HEPA filter unit and a parti...

Ureteral fibroepithelial polyps (UFPs) are rare non-epithelial benign tumors of the urinary tract. Treatment of such cases ranges from conservative management to surgical resection of the polyp. Hereby, we present a rare case of a 37-year-old female patient with giant 14 cm UFP of the distal left ureter, successfully resected by ureteroscopic electrocauterization. Several cases of UFPs have bee...

A perfect matching in a k-uniform hypergraph on n vertices, n divisible by k, is a set of n/k disjoint edges. In this paper we give a sufficient condition for the existence of a perfect matching in terms of a variant of the minimum degree. We prove that for every k ≥ 3 and sufficiently large n, a perfect matching exists in every n-vertex k-uniform hypergraph in which each set of k − 1 vertices ...

Piecewise affine maps (PAMs) are frequently used as a reference model to show the openness of the reachability questions in other systems. The reachability problem for one-dimentional PAM is still open even if we define it with only two intervals. As the main contribution of this paper we introduce new techniques for solving reachability problems based on p-adic norms and weights as well as sho...

In this article, we present an efficient local meshless method for the numerical treatment of 3-D convection-diffusion PDE. The demand techniques increment because its nature and simplicity usage in higher dimensions. This technique approximates solution on set uniform scattered nodes. space derivatives models are discretized by proposed procedure though time fractional part is Liouville-Caputo...