不确定分数阶微分方程理论与应用研究进展  

Research progress in theory and application of uncertain fractional differential equations

作　　者：朱元国[1] 何流 刘涵杰 陆自强 Zhu Yuanguo;He Liu;Liu Hanjie;Lu Ziqiang(School of Mathematics and Statistics,Nanjing University of Science and Technology,Nanjing 210094,China;School of Mathematics,Nanjing Audit University,Nanjing 211815,China)

机构地区：[1]南京理工大学数学与统计学院,江苏南京210094 [2]南京审计大学数学学院,江苏南京211815

出　　处：《南京理工大学学报》2023年第4期557-570,共14页Journal of Nanjing University of Science and Technology

摘　　要：具有记忆性及历史相关特性的不确定分数阶微分方程,自2015年被提出以来,被广泛应用于不确定动力系统演化过程的建模,因此,对该类方程的研究已然成为一个重要课题。该文介绍了不确定分数阶微分方程的定义与性质,总结了近年来关于不确定分数阶微分方程理论与应用方面的研究进展,并对不确定分数阶微分方程未来的研究方向进行了展望。The uncertain fractional differential equation with memory and historical related characteristics has been widely applied in modeling the evolution process of uncertain dynamic systems since its proposal in 2015.Therefore,the study of such equations has become a hot topic.This article introduces the definition and properties of uncertain fractional differential equations,summarizes the research progress in theory and application of uncertain fractional differential equations in recent years,and provides a prospect for future work on uncertain fractional differential equations.

关 键 词：不确定理论 不确定动力系统 不确定分数阶微分方程 

分 类 号：O175[理学—数学]