具有强迫项的非线性分数阶微分方程的区间振动准则  

Interval Oscillation Criteria for Forced Nonlinear Fractional Differential Equation

作　　者：李沙[1] 韩蓄[1] 李巧銮[1] LI Sha HAN Xu LI Qiaoluan(College of Mathematics and Information Sciences,Hebei Normal University,Hebei Shijiazhuang 050024,Chin)

机构地区：[1]河北师范大学数学与信息科学学院,河北石家庄050024

出　　处：《河北师范大学学报（自然科学版）》2017年第4期284-287,共4页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11571090);河北省高等学校高层次人才科学研究项目(GCC2014052)

摘　　要：研究了具有强迫项的非线性分数阶微分方程的区间振动准则,D_t~α(·)表示关于变元t的修正后的Riemann-Liouville导数.利用广义Riccati变换,得到方程一些新的振动准则,推广并改进了相关文献中已知的一些结果.A research has been made on the interval oscillation criteria for forced nonlinear fractional differential equations,where D_t～α（·）denotes the modified Riemann-Liouville derivative with respect to the variable t.The authors have obtained some new oscillation criteria for the equation through a generalized Riccati transformation,and these criteria have improved and generalized some of the known theorems in literature.

关 键 词：分数阶 微分方程 振动 

分 类 号：O175.7[理学—数学]