Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...

In this paper, the (m+1)-step Adams-Bashforth, Adams-Moulton, and Predictor-Correctormethods are used to solve rst-order linear fuzzy ordinary dierential equations. The conceptsof fuzzy interpolation and generalised strongly dierentiability are used, to obtaingeneral algorithms. Each of these algorithms has advantages over current methods. Moreover,for each algorithm a convergence formula can b...

The convergence rate is analyzed for McCormick relaxations of compositions of the form F ̋ f , where F is a multivariate function, as established by Tsoukalas and Mitsos (JOGO, 59:633-662, 2014). Convergence order in the Hausdorff metric and pointwise convergence order are analyzed. Similar to the convergence order propagation of McCormick univariate composition functions, Bompadre and Mitsos (...