数学与力学

模糊微分的性质

  • 尤翠莲 ,
  • 王伟卿
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  • 河北大学 数学与信息科学学院,保定 071002
尤翠莲(1977 ),女,河北唐山人,河北大学副教授,博士,主要从事不确定理论与模糊微分方程的研究.

收稿日期: 2014-10-08

  修回日期: 2014-12-10

  网络出版日期: 2015-03-25

基金资助

国家自然科学基金资助项目(11201110;61374184;11101115); 河北省高等学校优秀青年基金项目(Y2012021)

Properties of fuzzy different

  • YOU Cuilian ,
  • WANG Weiqing
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  • College of mathematics and information science,Hebei University,baoding 071002

Received date: 2014-10-08

  Revised date: 2014-12-10

  Online published: 2015-03-25

摘要

在求解由刘过程驱动的模糊微分方程时,需要研究一类新的模糊微分(刘微分)的性质.给出了 模糊微分的2个中值定理和4个模糊微分公式,并且将这些结论推广到复模糊微分的情形.这些工作为模 糊微分方程理论的完善和应用奠定了基础.

本文引用格式

尤翠莲 , 王伟卿 . 模糊微分的性质[J]. 河北大学学报(自然科学版), 2015 , 35(2) : 113 -117 . DOI: 10.3969/j.issn.1000-1565.2015.02.001

Abstract

To solve fuzzy differential equation driven by Liu process, some properties of a new kind of fuzzy differential (Liu differential) are needed. Two mean value theorems of fuzzy differential and four fuzzy differential formulas are given in this paper. Furthermore, these conclusions are extended to the case of complex fuzzy process. The studies above laid a theoretical foundation for calculation and application of the fuzzy differential equation.

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