This paper presents the fuzzy ARA transform definition, provides examples of how to obtain the fuzzy ARA transform for various functions, explains features of the fuzzy ARA transform, and explains how to solve fuzzy differential equations using the fuzzy ARA transform. We accomplish that by using the fuzzy ARA transform on both sides of the equation to solve the fuzzy differential equation. Then, in order to simplify the equation, we run a few calculations. Ultimately, the solution is obtained by taking the inverse of the fuzzy ARA transform.