带阻尼项的非线性分数阶微分方程的振动性(英文)  

Oscillation Criteria of Nonlinear Fractional Differential Equations with Damping Term

作　　者：马晴霞[1,2] 刘安平[2] 

机构地区：[1]中科院物理与数学研究所,湖北武汉430071 [2]中国地质大学数学与物理学院,湖北武汉430074

出　　处：《应用数学》2016年第2期291-297,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11201436,11471331)

摘　　要：本文研究一类带阻尼项的非线性分数阶微分方程的振动性问题.利用RiemannLiouville微积分、Riccati变换及不等式的方法,获得带阻尼项的非线性微分方程振动性的充分条件,推广了关于分数阶微分方程振动已有的结果.This work is concerned with the oscillation of a nonlinear fractional differential equations with damping term.Using Riemann-Liouville fractional calculus,Riccati method and inequalities,new sufficient conditions for oscillation of a fractional differential equation with damping term are obtained.Two examples are given to illustrated the efficiency of the main results.

关 键 词：振动 非线性 分数阶微分方程 阻尼项 

分 类 号：O175.14[理学—数学]