%0 Journal Article
%T 一类模糊积分微分方程的模糊微分变换法<br>Application of fuzzy differential transform method for solving fuzzy integral differential equation
%A 张琬迪
%A 宋晓秋
%A 吴尚伟
%J 山东大学学报（理学版）
%D 2017
%R 10.6040/j.issn.1671-9352.0.2016.594
%X 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。<br>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
%K 模糊微分变换
%K 模糊数
%K 模糊积分微分方程
%K FDTM
%K H-导数
%K &lt
%K br&gt
%K fuzzy differential transform
%K FDTM
%K H-derivative
%K fuzzy number
%K fuzzy integral differential equation
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2016.594