Hartman-Wintner-type inequalities for a class of nonlocal fractional boundary value problems

被引：18

作者：

Cabrera, I. ^{[1
]}

Sadarangani, K. ^{[1
]}

Samet, B. ^{[2
]}

机构：

[1] Univ Las Palmas Gran Canaria, Dept Matemat, Campus Tafira Baja, Las Palmas Gran Canaria 35017, Spain

[2] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 01期

关键词：

Hartman-Wintner-type inequality; Lyapunov-type inequality; fractional boundary value problem; nonlocal; Green function; eigenvalue; LYAPUNOV-TYPE INEQUALITIES;

D O I：

10.1002/mma.3972

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish new Hartman-Wintner-type inequalities for a class of nonlocal fractional boundary value problems. As an application, we obtain a lower bound for the eigenvalues of corresponding equations. Copyright (C) 2016 John Wiley & Sons, Ltd.

引用

页码：129 / 136

页数：8

共 21 条

[1]

Alsulami HH, 2015, J INEQUAL APPL, DOI 10.1186/s13660-015-0746-9

[2]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[3]

[Anonymous], 2006, Journal of the Electrochemical Society

[4] Opial's inequality and oscillation of 2nd order equations [J].