A New Method for Solving Fuzzy Bernoulli Differential Equation

被引：6

作者：

Babakordi, F. ^{[1
]}

Allahviranloo, T. ^{[2
]}

机构：

[1] Gonbad Kavous Univ, Math, Dept Math & Stat, Gonbad Kavous, Iran

[2] Bahcesehir Univ, Appl Math, Dept Math, Istanbul, Turkey

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2021年 / 15卷 / 04期

关键词：

L-R fuzzy number; Generalized Hukuhara difference; Generalized Hukuhara differentiability; fuzzy Bernoulli differential equation; VALUED FUNCTIONS; HIV-1; DYNAMICS;

D O I：

10.30495/JME.2021.1704

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new method for solving fuzzy Bernoulli differential equation (FBDE) under generalized differentiability. At the beginning, by stating the theorems, we define nth power of LR fuzzy function and the derivative of LR fuzzy function. Then, we obtain core function to determine LR fuzzy solution, through solving 1-cut FBDE, and calculate spread functions by finding the sign of real valued functions of coefficients of FBDE and finding the sign of core function. Also, numerical examples are presented to verify the effectiveness of the proposed method.

引用

页数：20

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