Introduction of the numerical methods in quantum calculus with uncertainty

Abstract

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).