分数阶模糊微分方程周期边值问题解的存在唯一性  

Existence and Uniqueness of Solutions to Periodic Boundary Value Problems for Fractional Fuzzy Differential Equations

作　　者：席艳丽 陈鹏玉 XI Yanli;CHEN Pengyu(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《四川师范大学学报（自然科学版）》2022年第1期54-59,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(12061063)。

摘　　要：运用偏序集上弱压缩映射的不动点定理,研究分数阶模糊微分方程周期边值问题{CgHD^(q)_(*)u(t)=f(t,u(t)),t∈(0,T),u(0)=λu(T)解的存在唯一性,其中,CgHD^(q)_(*)是Caputo分数阶广义Hukuhara导数,q∈(0,1],λ∈[0,1)∪(1,+∞),f:[0,T]×E→E是连续的模糊数值函数.By using the fixed point theorem of weakly contracted mappings on partially ordered sets,we obtain the existence and uniqueness of solutions to periodic boundary value problems for fractional fuzzy differential equations {CgHD^(q)_(*)u(t)=f(t,u(t)),t∈(0,T)u(0)=λu(T),where CgHD^(q)_(*) is the Caputo fractional generalized Hukuhara derivative,q∈(0,1],λ∈[0,1)∪(1,+∞),f:[0,T]×E→E is a continuous fuzzy numerical function.

关 键 词：分数阶模糊微分方程 周期边值问题 广义Hukuhara导数 弱压缩映射原理 

分 类 号：O175.15[理学—数学]