@article { author = {Noeiaghdam, Zahra and Rahmani, Morteza and Allahviranloo, Tofigh}, title = {Introduction of the numerical methods in quantum calculus with uncertainty}, journal = {Journal of Mathematical Modeling}, volume = {9}, number = {2}, pages = {303-322}, year = {2021}, publisher = {University of Guilan}, issn = {2345-394X}, eissn = {2382-9869}, doi = {10.22124/jmm.2020.17822.1534}, 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).}, keywords = {Generalized Hukuhara $q$-derivative,fuzzy $q$-Taylor's theorem,fuzzy local $q$-Taylor's expansion,fuzzy $q$-Euler's method}, url = {https://jmm.guilan.ac.ir/article_4456.html}, eprint = {https://jmm.guilan.ac.ir/article_4456_fabfb14b81d47fdae669a51bc70a9df3.pdf} }