Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives

被引：8
|
作者：
Jleli, Mohamed [1 ]
Samet, Bessem [1 ]
Zhou, Yong [2 ,3 ]
机构：
[1] King Saud Univ, Dept Math, Coll Sci, Riyadh, Saudi Arabia
[2] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China
[3] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 1期
关键词：
Lyapunov-type inequalities; Caputo-type fractional derivative; Systems;
D O I：
10.1186/s13660-019-1965-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Lyapunov-type inequality is derived for a nonlinear fractional boundary value problem involving Caputo-type fractional derivative. The obtained inequality provides a necessary condition for the existence of nontrivial solutions to the considered problem. Next, we extend our study to the case of systems.
引用
收藏
页数：15
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