带阻尼项的分数阶偏微分方程的强迫振动性（英文）  

FORCED OSCILLATION OF FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH DAMPING TERM

作　　者：马晴霞[1] 刘克英[2] 刘安平[1] MA Qing-xia;LIU Ke-ying;LIU An-ping(School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China;School of Mathematics and Information Sciences, North China University of Water Resourcesand Electric Power, Zhengzhou 450045, China)

机构地区：[1]中国地质大学(武汉)数学与物理学院,湖北武汉430074 [2]华北水利水电大学数学与信息科学学院,河南郑州450045

出　　处：《数学杂志》2019年第1期111-120,共10页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11601496;41630643)

摘　　要：本文研究了一类带阻尼项的分数阶偏微分方程在Robin边界条件下的强迫振动性.利用积分平均值方法和Riemann-Liouville微积分的一些特殊性质,得到了强迫振动新的准则,推广了偏微分方程强迫振动的一些经典结论.In this paper, we study the forced oscillation of a fractional partial differential equation with damping term subject to Robin boundary condition. Using an integration average technique and the properties of the Riemann-Liouville calculus, we obtain some new oscillation criteria for the fractional partial differential equations, which are the generalization of some classical results involving partial differential equations. Two examples are given to show the applications of our main results.

关 键 词：分数阶微分方程 强迫振动 Riemann-Liouville分数阶微积分 

分 类 号：O175[理学—数学]