Introduction of the numerical methods in quantum calculus with uncertainty

The aim of this study is the introduction of the numerical methods for solving the fuzzy q-differential equations that many real life problems can be modelized in the form of these equations. q-Taylor's expansion method is among important and famous methods for solving these problems. In this paper, applications of the fuzzy q-Taylor's expansion, the fuzzy local q-Taylor's expansion and the fuzzy q-Euler's method, based on the generalized Hukuhara q-differentiability are illustrated which are two numerical methods for finding approximate solution of the fuzzy initial value q-problems (for short FIVq-Ps).