数学物理学报 ›› 2020, Vol. 40 ›› Issue (6): 1537-1551.

• 论文 • 上一篇    下一篇

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

马德香1,*(),ÖzbeklerAbdullah2()   

  1. 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
  • 收稿日期:2019-06-14 出版日期:2020-12-26 发布日期:2020-12-29
  • 通讯作者: 马德香 E-mail:mdxcxg@163.com;aozbekler@gmail.com
  • 作者简介:Abdullah ?zbekler, E-mail: aozbekler@gmail.com

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

Dexiang Ma1,*(),Abdullah Özbekler2()   

  1. 1 Department of Mathematics, North China Electric Power University, Beijing 102206
    2 Department of Mathematics, Atilim University, Incek 06836, Turkey
  • Received:2019-06-14 Online:2020-12-26 Published:2020-12-29
  • Contact: Dexiang Ma E-mail:mdxcxg@163.com;aozbekler@gmail.com

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.

关键词: 分数阶导数, 格林函数, Lyapunov型不等式, Hartman型不等式

Abstract:

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.

Key words: Fractional derivative, Green's function, Lyapunov-type inequality, Hartman-type inequality

中图分类号: 

  • O175