A numerical method for solving first-order fully fuzzy differential equation under strongly generalized H-differentiability

被引：2

作者：

Darabi, P. ^{[1
]}

Moloudzadeh, S. ^{[2
]}

Khandani, H. ^{[3
]}

机构：

[1] Farhangian Univ, Dept Math, Tehran, Iran

[2] Soran Univ, Dept Math, Fac Educ, Soran Erbil, Kurdistan Regio, Iraq

[3] Islamic Azad Univ, Mahabad Branch, Dept Math, Mahabad, Iran

来源：

SOFT COMPUTING | 2016年 / 20卷 / 10期

关键词：

Approximate solution; Cross product; First-order fully fuzzy differential equation (FFDE); Lipschitz condition; Strongly generalized H-differentiability; NUMBER-VALUED FUNCTIONS;

D O I：

10.1007/s00500-015-1743-0

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, a numerical solution (Euler method) for solving first-order fully fuzzy differential equations (FFDE) in the form under strongly generalized H-differentiability is considered. First, we will show that under H-differentiability the FFDE can be divided into four differential equations. Then, we will prove that each of divided differential equations satisfies the Lipschitz condition, therefore, FFDE has a unique solution and Euler method can be used to find an approximate solution in each case. Convergence of this method is proved and an algorithm by which the exact solution can be approximated in each case will be provided.

引用

页码：4085 / 4098

页数：14