LYAPUNOV-TYPE INEQUALITY FOR THE HADAMARD FRACTIONAL BOUNDARY VALUE PROBLEM ON A GENERAL INTERVAL [a, b]

被引：11

作者：

Laadjal, Zaid ^{[1
]}

Adjeroud, Nacer ^{[1
]}

Ma, Qinghua ^{[2
]}

机构：

[1] Univ Abbes Laghrour, Dept Math & Comp Sci, ICOSI Lab, Khenchela 40000, Algeria

[2] Guangdong Univ Foreign Studies, Sch Math & Stat, Appl Math Dept, Guangzhou 510420, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2019年 / 13卷 / 03期

关键词：

Hadamard fractional derivative; boundary value problem; Green's function; Lyapunov-type inequality; Hartman-Wintner-type inequality;

D O I：

10.7153/jmi-2019-13-54

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using two different methods, we studied an open problem and obtained several results for Lyapunov-type and Hartman-Wintner-type inequalities for a Hadantard fractional differential equation on a general interval [a,b] , (1 <= a < b) with the boundary value conditions.

引用

页码：789 / 799

页数：11

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