In this paper an alternative approach to solve uncertain Stochastic Differential Equation (SDE) is proposed. This uncertainty occurs due to the involved parameters in system and these are considered as Triangular Fuzzy Numbers (TFN). Here the proposed fuzzy arithmetic in [2] is used as a tool to handle Fuzzy Stochastic Differential Equation (FSDE). In particular, a system of Ito stochastic diff...

 In this paper, some basic results concerning strict, nonstrict inequalities, local existence theorem and differential inequalities  have been proved for an IVP of first order hybrid  random differential equations with the linear perturbation of second type. A comparison theorem is proved and  applied to prove the uniqueness of random solution for the considered perturbed random differential eq...

Abstract Convergence analysis of accelerated first-order methods for convex optimization problems are developed from the point view ordinary differential equation solvers. A new dynamical system, called Nesterov gradient (NAG) flow, is derived connection between acceleration mechanism and -stability ODE solvers, exponential decay a tailored Lyapunov function along with solution trajectory prove...