Some aspects of nonlocal dynamics on directed and undirected networks for an initial value problem whose Jacobian matrix is a variable-order fractional power Laplacian are discussed here. This new extension to non-stationary behaviour class non-local phenomena complex which both graphs considered. Under appropriate assumptions, the existence, uniqueness, uniform asymptotic stability solutions u...

Galton’s rank-order statistic is one of the oldest statistical tools for two-sample comparisons. It also a very natural index to measure departures from stochastic dominance. Yet, its asymptotic behaviour has been investigated only partially, under restrictive assumptions. This work provides comprehensive study this behaviour, based on analysis so-called contact set (a modification in which qua...

This article is a contribution to the study of superintegrable Hamiltonian systems with magnetic fields on three-dimensional Euclidean space $\mathbb{E}_3$ in quantum mechanics. In contrast growing interest complex electromagnetic mathematical community following experimental confirmation its physical relevance [X. Peng et al., Phys. Rev. Lett. 114 (2015)], they were so far not addressed litera...

Tris(3-bromo-acetylacetonato) chromium(III) as an inert and very stable complex with a good leaving group was synthesized using as-prepared Cr(acetylacetonate)3. Highly ordered nanoporous silica (LUS-1), with some great features, was functionalized with 3-aminopropyltriethoxysilane. Then the as-prepared product was modified with tris(3-bromo-acetylacetonato) chromium(III) under mild reaction co...