First order linear non homogeneous ordinary differential equation in fuzzy environment based on Laplace transform

Abstract

In this paper the solution procedure of First Order Linear Non Homogeneous Ordinary Differential Equation (FOLNODE) is described in fuzzy environment. Here coefficients and /or initial condition of FOLNODE are considered as Generalized Triangular Fuzzy Numbers (GTFNs).The solution procedure of the FOLNODE is developed by Laplace transform.  It is illustrated by numerical examples. Finally an imprecise concentration problem is described in fuzzy environment.