%0 Journal Article
%T Introduction of the numerical methods in quantum calculus with uncertainty
%J Journal of Mathematical Modeling
%I University of Guilan
%Z 2345-394X
%A Noeiaghdam, Zahra
%A Rahmani, Morteza
%A Allahviranloo, Tofigh
%D 2021
%\ 05/01/2021
%V 9
%N 2
%P 303-322
%! Introduction of the numerical methods in quantum calculus with uncertainty
%K Generalized Hukuhara $q$-derivative
%K fuzzy $q$-Taylor's theorem
%K fuzzy local $q$-Taylor's expansion
%K fuzzy $q$-Euler's method
%R 10.22124/jmm.2020.17822.1534
%X 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).
%U https://jmm.guilan.ac.ir/article_4456_fabfb14b81d47fdae669a51bc70a9df3.pdf