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.
作者
郭琳
斯仁道尔吉
GUO Lin;Sirendaoerji(College of Mathematical Sciences, Inner Mongolia Normal University, Hohhot 010022, China)
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)
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
modified Riemann-Liouville derivative
auxiliary equation method
exact solution
general elliptic equation
