A new analytical method for solving fuzzy differential equations

In the literature, several numerical methods are proposed for solving $n$th-order fuzzy linear differential equations. However, till now there are only two analytical methods for the same. In this paper, the fuzzy Kolmogorovʹs differential equations, obtained with the help of fuzzy Markov model of piston manufacturing system, are solved by one of these analytical methods and illustrated that the obtained solution does not represent a fuzzy number. To resolve the drawback of existing method, a new analytical method is proposed for solving $n$th-order fuzzy linear differential equations. Furthermore, the advantage of proposed method over existing method is also discussed.