Computer Engineering and Applications ›› 2013, Vol. 49 ›› Issue (1): 7-9.

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Approximate solutions of fuzzy differential systems under generalized Hukuhara derivative

WANG Lei1,2, GUO Sicong2   

  1. 1.Department of Basic Teaching, Liaoning Technical University, Huludao, Liaoning 125105, China
    2.College of Science, Liaoning Technical University, Fuxin, Liaoning 123000, China
  • Online:2013-01-01 Published:2013-01-16

具有广义Hukuhara导数的模糊微分系统的近似解

王  磊1,2,郭嗣琮2   

  1. 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

Abstract: The first order fuzzy linear differential system with fuzzy initial value problem is studied under generalized Hukuhara derivative, the first order fuzzy linear differential system can be translated into 2n crisp linear differential system, the approximate analytical solutions of fuzzy initial value problems are obtained by using differential transformation method, and one example is provided.

Key words: fuzzy linear differential system, generalized Hukuhara derivative, differential transformation method

摘要: 利用广义Hukuhara导数研究了一阶模糊线性微分系统的模糊初值问题,将一阶模糊线性微分系统转化成2n个等价的分明线性微分系统,给出了模糊初值问题近似解析解的微分变换解法;给出了具体算例。

关键词: 模糊线性微分系统, 广义Hukuhara导数, 微分变换解法