用辅助方程法构造时空分数阶Klein-Gordon方程的精确解  

Exact Solutions of the Nonlinear Time-space Fractional Differential Klein-Gordon Equation by the Auxiliary

作　　者：郭琳 斯仁道尔吉[1] GUO Lin;Sirendaoerji(College of Mathematical Sciences, Inner Mongolia Normal University, Hohhot 010022, China)

机构地区：[1]内蒙古师范大学数学科学学院

出　　处：《广西师范学院学报（自然科学版）》2019年第2期24-31,共8页Journal of Guangxi Teachers Education University(Natural Science Edition)

摘　　要：利用修正的黎曼-刘维尔导数及其性质,借助一般椭圆方程作为辅助方程给出时空分数阶Klein-Gordon方程的部分精确解.该方法同样可用于求解其他类型分数阶偏微分方程的精确解.With the aid of the modified Riemann-Liouville derivative and its properties, the exact solutions of the time-space fractional differential Klein-Gordon equation are obtained by using the general elliptic equation as the auxiliary equation. This method also can be used to solve other type of fractional differential equations in mathematical physics.

关 键 词：修正的黎曼-刘维尔导数 辅助方程法 精确解 一般椭圆方程 

分 类 号：O175.29[理学—数学]