| 一类模糊积分微分方程的模糊微分变换法 |
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| 引用本文： | 张琬迪,宋晓秋,吴尚伟. 一类模糊积分微分方程的模糊微分变换法[J]. 山东大学学报(理学版), 2017, 52(10): 42-49. DOI: 10.6040/j.issn.1671-9352.0.2016.594 |
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| 作者姓名： | 张琬迪 宋晓秋 吴尚伟 |
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| 作者单位： | 中国矿业大学数学学院, 江苏 徐州 221116 |
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| 基金项目： | 国家自然科学基金资助项目(51374199) |
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| 摘 要： | 根据模糊数相关知识和模糊微分变换的定义,给出了一阶导数f '(x)与f(x)对应的模糊微分变换函数之间的关系,以及二重积分函数f(x)与被积函数u(x)和g(x)对应的模糊微分变换函数F(k)和U(k)与G(k)之间的关系,进而给出求解模糊积分微分方程的相关结果。
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| 关 键 词： | 模糊微分变换 模糊数 模糊积分微分方程 FDTM H-导数 |
| 收稿时间： | 2016-11-25 |
Application of fuzzy differential transform method for solving fuzzy integral differential equation |
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| Affiliation: | School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China |
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| Abstract: | According to the definitions of fuzzy number and fuzzy differential transformation, the relationship between the differential transform of the functions f '(x) and f(x)is given, and the relationship between F(k), U(k) and G(k), the differential transform of double function f(x), integrand u(x)and g(x), is given, then the solution of fuzzy integral differential equation is obtained. |
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| Keywords: | fuzzy differential transform FDTM H-derivative fuzzy number fuzzy integral differential equation |
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