复模糊微分方程的初始值问题  

Initial Value Problem of Complex Fuzzy Differential Equations

作　　者：吴丹[1] 韩维[1] 樊太和[1] 

机构地区：[1]浙江理工大学科学计算与软件工程实验室,杭州310018

出　　处：《浙江理工大学学报（自然科学版）》2014年第5期550-554,共5页Journal of Zhejiang Sci-Tech University(Natural Sciences)

基　　金：国家自然科学基金(61210004)

摘　　要：复模糊微分方程的初始值问题是近年来研究的热点问题。首先证明了复模糊域上的牛顿-莱布尼茨公式,并建立了微分和积分之间的关系,然后定义了复模糊微分方程的初始值问题,最后给出了基于经典的不动点定理和基于Zadeh在复数域上的扩展原理两种初始值问题存在的结论。然后在此基础上对初始值进行求解。The initial value problem for complex fuzzy equations is a research hotspot in recent years. We first prove Newton-Leibniz Formula on the complex fuzzy domian and establish the relationship between differential and integral. Then, we define initial value problem of fuzzy complex equations and finally give the conclusion that the twp initial values based on classical fixed point principle and Zadeh＇s extension principle in complex fuzzy domain have problems. Then, on this basis, we solve the initial value.

关 键 词：复模糊微分方程 初始值问题 牛顿-莱布尼茨公式 Zadeh扩展原理 

分 类 号：O175.8[理学—数学]