Abstract

In this paper, we consider a type of fuzzy harmonic oscillator described by a differential equation of the form x '' a(2)x = 0 with initial conditions given by fuzzy numbers. Here, we assume that x ''(t) and a(2)x(t) are linearly correlated fuzzy numbers for t is an element of R and a is an element of R, a not equal 0. In general, this assumption is necessary for the equality x '' a(2)x = 0 to make sense. Using this interactive relation, we obtain a solution for this problem using a fuzzy Laplace transform method.