线性生成的分数阶模糊微分方程

J4 ›› 2012, Vol. 47 ›› Issue (7): 81-84.

线性生成的分数阶模糊微分方程

王磊^1,2,郭嗣琮²

1. 辽宁工程技术大学基础教学部, 辽宁葫芦岛 125105; 2. 辽宁工程技术大学理学院, 辽宁阜新 123000

收稿日期:2011-10-18 出版日期:2012-07-20 发布日期:2012-09-01
作者简介:王磊(1978- ),男,博士研究生,讲师,研究方向为模糊微分系统、模糊决策等.Email:wllyq78@163.com
基金资助:
教育部博士点基金资助项目(20102121110002)

Linear formed fractional fuzzy differential equations

WANG Lei^1,2, GUO Si-zong²

1. Department of Basic Teaching, Liaoning Technical University, Huludao 125105, Liaoning, China;
2. College of Science, Liaoning Technical University, Fuxin 123000, Liaoning, China

Received:2011-10-18 Online:2012-07-20 Published:2012-09-01

摘要/Abstract

摘要：

基于模糊结构元方法,定义了模糊值函数的Riemann-Liouville导数,研究了由对称模糊结构元线性生成的分数阶模糊微分方程,给出了方程解存在的条件,利用Mittag-Leffler函数得到了方程解的结构元表示,并给出了具体算例。

关键词: 模糊微分方程;模糊结构元方法;模糊Riemann-Liouville导数;Mittag—Leffler函数

Abstract:

According to the fuzzy structured element method, the Riemann-Liouville derivative of fuzzyvalued function is defined, and the fractional fuzzy differential equations is studied which is linear formed by symmetrical fuzzy structured element. The existence of a solution is given and the solution is obtained by Mittag—Leffler function. Finally, an illustrative example is provided.

Key words: fuzzy differential equations; fuzzy structured element method; fuzzy Riemann-Liouville derivative; Mittag—Leffler function

王磊1,2,郭嗣琮2. 线性生成的分数阶模糊微分方程[J]. J4, 2012, 47(7): 81-84.

WANG Lei1,2, GUO Si-zong2. Linear formed fractional fuzzy differential equations[J]. J4, 2012, 47(7): 81-84.

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