| 线性生成的分数阶模糊微分方程 |
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| 引用本文： | 王磊,郭嗣琮.线性生成的分数阶模糊微分方程[J].山东大学学报(理学版),2012,47(7):81-84. |
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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; 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： | 教育部博士点基金资助项目(20102121110002) |
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| 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。
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| 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 |
| 收稿时间： | 2011-10-18 |
Linear formed fractional fuzzy differential equations |
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| WANG Lei,GUO Si-zong.Linear formed fractional fuzzy differential equations[J].Journal of Shandong University,2012,47(7):81-84. |
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| Authors: | WANG Lei GUO Si-zong |
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| Institution: | 1. Department of Basic Teaching, Liaoning Technical University, Huludao 125105, Liaoning, China;
2. College of Science, Liaoning Technical University, Fuxin 123000, Liaoning, China |
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| 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. |
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| Keywords: | fuzzy differential equations fuzzy structured element method fuzzy Riemann-Liouville derivative Mittag—Leffler function |
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