Introduction of the numerical methods in quantum calculus with uncertainty

Document Type : Research Article

Authors

1 Department of Mathematics, Shahed University, Tehran, Iran

2 Department of Mathematics, Shahed University, Tehran, Iran & Faculty of Basic and Advanced Technologies in Biology, University of Science and Culture, Tehran, Iran

3 Bahcesehir University, Faculty of Engineering and Natural Sciences, Istanbul, Turkey & Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

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

Journal of Mathematical Modeling
Volume 9, Issue 2
May 2021
Pages 303-322

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