一类带强迫项的高阶半线性分数阶微分方程的广义Lyapunov不等式  

Generalized Lyapunov Inequalities for a Higher-Order Sequential Fractional Differential Equation with Half-Linear Terms

作　　者：马德香[1] Abdullah Özbekler Ma Dexiang;Abdullah Özbekler(Department of Mathematics,North China Electric Power University,Beijing 102206;Department of Mathematics,Atilim University,Incek 06836,Turkey)

机构地区：[1]华北电力大学数理学院,北京102206 [2]安提里姆大学数学系,土耳其安卡拉06836

出　　处：《数学物理学报（A辑）》2020年第6期1537-1551,共15页Acta Mathematica Scientia

摘　　要：该文对一类带强迫项的高阶半线性分数阶微分方程建立了Lyapunov型和Hartman型不等式.推广并统一了现有文献中研究类似问题的结论,并减弱了相应条件.In this paper,we establish some new Lyapunov-type inequalities and Hartman-type inequalities for a higher-order sequential Riemann-Liouville fractional boundary value problem with some half-linear terms and a forcing term.We generalize some existing results in literature.

关 键 词：分数阶导数 格林函数 Lyapunov型不等式 Hartman型不等式 

分 类 号：O175[理学—数学]