In this paper, we consider a type of fuzzy harmonic oscillator described by a differential equation of the form x″ + a2x = 0 with initial conditions given by fuzzy numbers. Here, we assume that x″ (t) and a2x (t) are linearly correlated fuzzy numbers for and . In general, this assumption is necessary for the equality x″ + a2x = 0 to make sense. Using this interactive relation, we obtain a solution for this problem using a fuzzy Laplace transform method.
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