TY - JOUR
ID - 4456
TI - Introduction of the numerical methods in quantum calculus with uncertainty
JO - Journal of Mathematical Modeling
JA - JMM
LA - en
SN - 2345-394X
AU - Noeiaghdam, Zahra
AU - Rahmani, Morteza
AU - Allahviranloo, Tofigh
AD - Department of Mathematics, Shahed University, Tehran, Iran
AD - Department of Mathematics, Shahed University, Tehran, Iran & Faculty of Basic and Advanced Technologies in Biology, University of Science and Culture, Tehran, Iran
AD - Bahcesehir University, Faculty of Engineering and Natural Sciences, Istanbul, Turkey & Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Y1 - 2021
PY - 2021
VL - 9
IS - 2
SP - 303
EP - 322
KW - Generalized Hukuhara $q$-derivative
KW - fuzzy $q$-Taylor's theorem
KW - fuzzy local $q$-Taylor's expansion
KW - fuzzy $q$-Euler's method
DO - 10.22124/jmm.2020.17822.1534
N2 - 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).
UR - https://jmm.guilan.ac.ir/article_4456.html
L1 - https://jmm.guilan.ac.ir/article_4456_fabfb14b81d47fdae669a51bc70a9df3.pdf
ER -