一类分数阶伪抛物方程解的存在性和唯一性  

Existence and Uniqueness of Solutions for a Class of Fractional Pseudo-parabolic Equations

作　　者：杨阶慧 蒋敏 YANG Jiehui;JIANG Min(School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]贵州民族大学数据科学与信息工程学院,贵阳550025

出　　处：《海南热带海洋学院学报》2022年第2期59-63,共5页Journal of Hainan Tropical Ocean University

基　　金：贵州省教育厅青年人才成长项目(黔教合KY字[2017]133)。

摘　　要：研究了一类分数阶伪抛物方程的初边值问题。该类方程广泛应用于金融、物理学、流体动力学、种群动力学和博弈论等领域。利用Galerkin近似法和压缩映射原理,得到了该分数阶伪抛物方程解的局部存在性和唯一性定理。The initial boundary value problem of a class of fractional pseudo-parabolic equations was studied.This class of equations is widely used in finance,physics,fluid dynamics,population dynamics and game theory.By using the Galerkin approximation method and the principle of compression mapping,the theorem of local existence and uniqueness of the solution of the fractional-order pseudo-parabolic equation were obtained.

关 键 词：分数阶伪抛物方程 Galerkin近似法 压缩映射原理 局部存在性 

分 类 号：O175.8[理学—数学]