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Noeiaghdam, Zahra, Rahmani, Morteza, Allahviranloo, Tofigh. (1400). Introduction of the numerical methods in quantum calculus with uncertainty. فیزیولوژی و بیوتکنولوژی آبزیان, 9(2), 303-322. doi: 10.22124/jmm.2020.17822.1534
Zahra Noeiaghdam; Morteza Rahmani; Tofigh Allahviranloo. "Introduction of the numerical methods in quantum calculus with uncertainty". فیزیولوژی و بیوتکنولوژی آبزیان, 9, 2, 1400, 303-322. doi: 10.22124/jmm.2020.17822.1534
Noeiaghdam, Zahra, Rahmani, Morteza, Allahviranloo, Tofigh. (1400). 'Introduction of the numerical methods in quantum calculus with uncertainty', فیزیولوژی و بیوتکنولوژی آبزیان, 9(2), pp. 303-322. doi: 10.22124/jmm.2020.17822.1534
Noeiaghdam, Zahra, Rahmani, Morteza, Allahviranloo, Tofigh. Introduction of the numerical methods in quantum calculus with uncertainty. فیزیولوژی و بیوتکنولوژی آبزیان, 1400; 9(2): 303-322. doi: 10.22124/jmm.2020.17822.1534

Introduction of the numerical methods in quantum calculus with uncertainty

Journal of Mathematical Modeling
دوره 9، شماره 2، مرداد 2021، صفحه 303-322    اصل مقاله (340.65 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2020.17822.1534
نویسندگان
Zahra Noeiaghdam1؛ Morteza Rahmani* 2؛ Tofigh Allahviranloo3
1Department of Mathematics, Shahed University, Tehran, Iran
2Department of Mathematics, Shahed University, Tehran, Iran & Faculty of Basic and Advanced Technologies in Biology, University of Science and Culture, Tehran, Iran
3Bahcesehir University, Faculty of Engineering and Natural Sciences, Istanbul, Turkey & Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
چکیده
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).
کلیدواژه‌ها
Generalized Hukuhara $q$-derivative؛ fuzzy $q$-Taylor's theorem؛ fuzzy local $q$-Taylor's expansion؛ fuzzy $q$-Euler's method
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