一维时间分数阶Keller-Segel模型的解析解（英文）  

Analytic solutions to the one dimensional time fractional Keller-Segel model

作　　者：侯婕 王丽真 Hou Jie;Wang Lizhen(School of Mathematics, Northwest University, Xi′an 710127, China)

机构地区：[1]西北大学数学学院

出　　处：《纯粹数学与应用数学》2019年第3期276-286,共11页Pure and Applied Mathematics

基　　金：国家自然科学基金(11771352);陕西省自然科学基金(2018JM1005)

摘　　要：在这篇文章中,用广义分离变量法、齐次平衡法和不变子空间方法研究了含有分数阶导数的广义Burgers方程.借助一维抛物-椭圆型Keller-Segel模型与Burgers方程之间的关系,建立了一维分数阶Keller-Segel模型的几类精确解.In this paper, the generalized separation variable method, homogenous balanced principle and invariant subspace method are developed to study the generalized Burgers equation with fractional derivatives. With the help of the relation between the parabolic-elliptic Keller-Segel equations and Burgers equation, several exact solutions of the one-dimensional fractional Keller-Segel equations are established.

关 键 词：广义分离变量法 齐次平衡法 不变子空间方法 广义BURGERS方程 Keller-Segel模型 

分 类 号：O175.2[理学—数学]