非线性分数阶微分方程的强迫振动性（英文）  

Forced Oscillation of Nonlinear Fractional Differential Equations

作　　者：刘平利[1] 徐润[1] 

机构地区：[1]曲阜师范大学数学科学学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2016年第2期8-14,共7页Journal of Qufu Normal University(Natural Science)

基　　金：National Science Foundation of China(11171178 and 11271225)

摘　　要：考虑了一类带强迫项的非线性分数阶微分方程的振动性.这里的分数阶导数定义为修正的黎曼-刘维尔导数.通过运用变量代换方法,广义黎卡提变换和积分平均技巧,建立了这个方程的一些新的振动准则.In this paper,we are concerned with the oscillation of a class of nonlinear fractional differential equations with forced term.The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.By employing the method of variable transformation,generalized Riccati transformation and the integral average technique,we establish some new oscillation criteria for the equation.

关 键 词：振动准则 非线性分数阶微分方程 强迫项 

分 类 号：O175[理学—数学]