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

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

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 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 Ma^1,*(),Abdullah Özbekler²()

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/Abstract

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

马德香,ÖzbeklerAbdullah. 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[J]. 数学物理学报, 2020, 40(6): 1537-1551.

Dexiang Ma,Abdullah Özbekler. Generalized Lyapunov Inequalities for a Higher-Order Sequential Fractional Differential Equation with Half-Linear Terms[J]. Acta mathematica scientia,Series A, 2020, 40(6): 1537-1551.

参考文献 33

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