First Order Linear Homogeneous Ordinary Differential Equation in Fuzzy Environment Based On Laplace Transform

By Sankar Prasad Mondal, Tapan Kumar Roy. 2013

51 citations recorded by the source corpus.

In this paper the First Order Linear Ordinary Differential Equations (FOLODE) are described in fuzzy environment. Here coefficients and /or initial condition of FOLODE are taken as Generalized Triangular Fuzzy Numbers (GTFNs).The solution procedure of the FOLODE is developed by Laplace transform. It is illustrated by numerical examples. Finally imprecise bank account problem and concentration of drug in blood problem are described.

Subfields: Artificial Intelligence, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/c8cd0e14411556706e917b16644373c7518148d9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Tapan Kumar Roy
2. Sankar Prasad Mondal

In Management Science and Operations Research

1. Tapan Kumar Roy
2. Sankar Prasad Mondal

In Statistics and Probability

1. Tapan Kumar Roy
2. Sankar Prasad Mondal

Citations in the corpus

• First order homogeneous ordinary differential equation with initial value as triangular intuitionistic fuzzy number (2014, background): “For example, in population models [9], civil engineering [37], Growth model [29], Bacteria culture model [31], bank account and drug concentration problem [33], barometric pressure problem [34].”