ABSTRACT
Analytical solutions play a significant role in the proper understanding of qualitative features of various science and engineering problems. But it is not always possible to obtain the analytical solution of the same. From the literature we understand that few researchers have developed analytical methods to obtain solutions of n-th order fuzzy differential equations (FDEs). But it has been seen that the existing methods always convert the FDEs into two crisp differential equations or coupled differential equations, depending upon the sign of the coefficients. Accordingly, more computational time is needed to solve the coupled or system of FDEs. This motivates the study to develop new analytical methods with less computation time. In this regard, first we provide a brief discussion about the concept of n-th order fuzzy linear ordinary differential equations with two types of differentiability. In general, three different cases may arise according to the sign of the coefficients in the FDEs. Accordingly, this chapter discusses various analytical methods by considering these three cases to solve n-th order linear ordinary FDEs. To validate these methods, various simple mathematical examples and application problems have been solved.
