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.
Copyright © 2013 Sankar Prasad Mondal, Tapan Kumar Roy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. P. Mondal, T. K. Roy, First order linear non homogeneous ordinary differential equation in fuzzy environment based on Laplace transform, J. Math. Comput. Sci. 3 (2013), 1533–1564.
BibTeX
@article{Mondal2013,
author = {Mondal, Sankar Prasad and Roy, Tapan Kumar},
title = {First order linear non homogeneous ordinary differential equation in fuzzy environment based on Laplace transform},
journal = {J. Math. Comput. Sci.},
volume = {3},
year = {2013},
pages = {1533--1564},
doi = {}
}