变分迭代法求解模糊分数阶Volterra积分微分方程  

Variational iteration method for solving fuzzy fractional Volterra integro-differential equations

作　　者：陈琴 陈豫眉[1] CHEN Qin;CHEN Yumei(China West Normal University,Nanchong 637009,China)

机构地区：[1]西华师范大学,四川南充637009

出　　处：《贵州科学》2023年第6期59-64,共6页Guizhou Science

基　　金：国家自然科学基金面上项目(11971097)。

摘　　要：分别运用Schauder不动点定理和Banach不动点定理证明了模糊分数阶Volterra积分微分方程解的存在性和唯一性;其次,将变分迭代法用于求解该方程的近似解;最后,给出数值算例,表明变分迭代法处理这类方程的有效性和适用性。In this paper,the existence and uniqueness of the solution for fuzzy fractional Volterra integro-differential equations are proved by Schauder fixed point theorem and Banach fixed point theorem,respectively.Secondly,the variational iteration method is used to solve the approximate solution of this kind of fuzzy fractional equations.Finally,a numerical example is given to show the effectiveness and applicability of the variational iteration method in dealing with such equations.

关 键 词：模糊分数阶方程 VOLTERRA积分微分方程 SCHAUDER不动点定理 BANACH不动点定理 变分迭代法 

分 类 号：O241.83[理学—计算数学]