A Lyapunov-type inequality for a class of higher-order fractional boundary value problems

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-29

Şuayip Toprakseven

引用次数: 0

Abstract

. This work presents a new Lyapunov-type inequality for a class of higher-order fractional boundary value problem of the fractional Caputo Fabrizio differential equation subject to fractional integral boundary conditions. The derived result is applied to the fractional Sturm-Liouville problem in establishing a lower bound for the eigenvalues. We also provide the necessary condition for nonexistence of the non-trivial solution of the fractional boundary value problem.

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一类高阶分数边值问题的lyapunov型不等式

．本文给出了一类分数阶Caputo - Fabrizio微分方程在分数阶积分边界条件下的高阶分数阶边值问题的一个新的lyapunov型不等式。将所得结果应用于分数阶Sturm-Liouville问题，用于建立特征值的下界。给出了分数阶边值问题非平凡解不存在的必要条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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