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

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.