Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems,Complex Variables and Elliptic Equations

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Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems
Complex Variables and Elliptic Equations ( IF 0.6 ) Pub Date : 2020-10-11 , DOI: 10.1080/17476933.2020.1825393
Aidyn Kassymov _{1,

2,

3} , Mokhtar Kirane _{4,

5} , Berikbol T. Torebek _{1,

2,

3}

Affiliation

ABSTRACT

In this paper, we show Lyapunov and Hartman-Wintner-type inequalities for a fractional partial differential equations with Dirichlet conditions and we give some applications of these inequalities for the eigenvalue problem. Also, we give de La Vallée Poussin-type inequality for the fractional elliptic boundary value problem and Lyapunov-type inequalities for the fractional elliptic systems with Dirichlet conditions.

中文翻译：

分数椭圆边值问题的 Lyapunov、Hartman-Wintner 和 De La Vallée Poussin 型不等式

摘要

在本文中，我们展示了具有 Dirichlet 条件的分数偏微分方程的 Lyapunov 和 Hartman-Wintner 型不等式，并给出了这些不等式在特征值问题中的一些应用。此外，我们给出了分数椭圆边值问题的 de La Vallée Poussin 型不等式和带 Dirichlet 条件的分数椭圆系统的 Lyapunov 型不等式。

更新日期：2020-10-11

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