分数阶q-对称非自治系统的稳定性  

Stability of q-symmetric fractional non-autonomous systems

作　　者：吴凡[1] 侯成敏[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《延边大学学报（自然科学版）》2016年第3期188-191,230,共5页Journal of Yanbian University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(11161049);2015-2016年度吉林省教育厅"十二五"科技项目(吉教科合字[2015]第36号)

摘　　要：考虑一类分数阶q-对称非自治系统的稳定性.利用Lyapunov直接法,研究了q-对称Caputo分数阶非自治系统的稳定性,建立了该系统一致稳定性及渐近稳定性条件并给出了证明.进一步,利用q-对称Riemann-Liouville分数阶导算子与q-对称Caputo分数阶导算子的关系,给出了q-对称Riemann-Liouville分数阶非自治系统的稳定性、一致稳定性及渐近稳定性结果.Stability of a class of q-symmetric fractional non-autonomous systems is considered. Using Lyapunov＇s direct method, the stability of q-symmetric fractional non-autonomous systems with q-symmetric fractional Caputo derivative is studied. Furthermore, using the relation of q-symmetric Caputo fractional deriv- ative and q-symmetric Riemann-Liouville fractional derivative, the results of stability, uniformly stability and asymptotic stability for q-symmetric fractional non-autonomous systems with q-symmetric Riemann-Liouville fractional derivative is obtained.

关 键 词：q-对称Caputo分数阶导算子 q-对称Riemann-Liouville分数阶导算子 非自治系统 LYAPUNOV直接法 稳定性 

分 类 号：O175.6[理学—数学]