A LYAPUNOV-TYPE INEQUALITY FOR A FRACTIONAL BOUNDARY VALUE PROBLEM WITH CAPUTO-FABRIZIO DERIVATIVE

被引：9

作者：

Kirane, Mokhtar ^{[1
,2
]}

Torebek, Berikbol T. ^{[3
,4
]}

机构：

[1] Univ La Rochelle, LaSIE, Fac Sci, Pole Sci & Technol, Ave M Crepeau, La Rochelle 17042, France

[2] King Abdulaziz Univ, Dept Math, Fac Sci, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

[3] Al Farabi Kazakh Natl Univ, 71 Al Farabi Ave, Alma Ata 050040, Kazakhstan

[4] Inst Math & Math Modeling, 125 Pushkin Str, Alma Ata 050010, Kazakhstan

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2018年 / 12卷 / 04期

关键词：

Lyapunov inequality; Caputo-Fabrizio derivative; Green function; EQUATION;

D O I：

10.7153/jmi-2018-12-77

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we obtain a Lyapunov-type inequality for a fractional differential equation with Caputo-Fabrizio operator subject to Dirichlet-type boundary conditions. As an application, we obtain a lower bound for the eigenvalues of corresponding equations.

引用

页码：1005 / 1012

页数：8

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