| 具有广义Hukuhara导数的模糊微分系统的近似解 |
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| 引用本文： | 王磊,郭嗣琮. 具有广义Hukuhara导数的模糊微分系统的近似解[J]. 计算机工程与应用, 2013, 49(1): 7-9,18 |
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| 作者姓名： | 王磊 郭嗣琮 |
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| 作者单位： | 1. 辽宁工程技术大学 基础教学部,辽宁葫芦岛125105;辽宁工程技术大学 理学院,辽宁阜新123000
2. 辽宁工程技术大学 理学院,辽宁阜新,123000 |
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| 基金项目： | 高等学校博士点学科点专项科研基金 |
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| 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。
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| 关 键 词： | 模糊线性微分系统 广义Hukuhara导数 微分变换解法 |
Approximate solutions of fuzzy differential systems under generalized Hukuhara derivative |
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| WANG Lei , GUO Sicong. Approximate solutions of fuzzy differential systems under generalized Hukuhara derivative[J]. Computer Engineering and Applications, 2013, 49(1): 7-9,18 |
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| Authors: | WANG Lei GUO Sicong |
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| Affiliation: | 1.Department of Basic Teaching, Liaoning Technical University, Huludao, Liaoning 125105, China 2.College of Science, Liaoning Technical University, Fuxin, Liaoning 123000, China |
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| 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. |
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| Keywords: | fuzzy linear differential system generalized Hukuhara derivative differential transformation method |
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