Finite differences, as a subclass of direct methods in the calculus of variations, consist in discretizing the objective functional using appropriate approximations for derivatives that appear in the problem. This article generalizes the same idea for fractional variational problems. We consider a minimization problem with a Lagrangian that depends only on the left Riemann–Liouville fractional ...

This paper address a new vision for the generalized Mittag-Leffler stability of the fractional differential equations. We mainly focus on a new method, consisting of decomposing a given fractional differential equation into a cascade of many sub-fractional differential equations. And we propose a procedure for analyzing the generalized Mittag-Leffler stability for the given fractional different...

Fractional catabolic rates of iodine-labeled plasma albumins and fibrinogens have been measured in experiments of a few hours duration in adult rabbits. The method used which is based on release of labeled iodide from the protein gives accurate estimates of catabolic rates (expressed as fractions of the plasma protein pool catabolized per day) after 36 hr without the need for urine collections....

INTRODUCTION AND OBJECTIVES Intracoronary ultrasound estimation of the functional significance of intermediate angiographic lesions has mainly been based on measuring the minimal lumen area. These estimates take no account of lesion length and pay insufficient attention to long coronary lesions. METHODS We included 61 lesions with visual angiographic stenosis of 40% to 70% that required treat...

Given a sequence of n elements, the All Nearest Smaller Values (ANSV) problem is to nd, for each element in the sequence, the nearest element to the left (right) that is smaller, or to report that no such element exists. Time and work optimal algorithms for this problem are known on all the PRAM models 3], 5], but the running time of the best previous hypercube algorithm 6] is optimal only when...

BACKGROUND The RD(50) (exposure concentration producing a 50% respiratory rate decrease) test evaluates airborne chemicals for sensory irritation and has become an American Society for Testing and Materials (ASTM) standard method. Past studies reported good correlations (R(2)) between RD(50)s and the occupational exposure limits, particularly threshold limit values (TLVs). OBJECTIVE The main ...

Given a sequence of n elements, the All Nearest Smaller Values (ANSV) problem is to nd, for each element in the sequence, the nearest element to the left (right) that is smaller, or to report that no such element exists. Time and work optimal algorithms for this problem are known on all the PRAM models 4, 6], but the running time of the best previous hypercube algorithm 9] is optimal only when ...

The paper examined the value system in Philippine firms against the backdrop of Eastern-Western cultural dynamics in East Asia. The Asian milieu presents co-existence of cultural stasis and unease -balance and tension between Eastern values and Western ideas. Successful Asian countries demonstrated their ability to blend conflicting cultures and highlight certain values in order to promote nati...

One objective of modern neuroimaging is to identify markers that can aid in diagnosis, disease progression monitoring and long-term drug impact analysis. In this study, Parkinson-associated physiopathological modifications were characterized in six subcortical structures by simultaneously measuring quantitative magnetic resonance parameters sensitive to complementary tissue characteristics (i.e...

Every functional programmer knows about sum and product types, a+b and a×b respectively. Negative and fractional types, a−b and a/b respectively, are much less known and their computational interpretation is unfamiliar and often complicated. We show that in a programming model in which information is preserved (such as the model introduced in our recent paper on Information Effects), these type...