Solving higher-order fuzzy differential equations via laplace residual power series approach

Abstract

In this paper, we have applied a new method called Laplace residual power series method (LRPSM) introduced by (T. Eriqate et. al. ) for solving n-order fuzzy linear differential equations. The algorithm gains powerful results for this kind of problem. Initially, we analyze in general the Laplace residual power series technique, and then we expand it and use it to solve 2-order and 4-order fuzzy linear differential equations with extended Hukuhara differentiability as a two examples to demonstrate efficiency and accuracy of the approch.