Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions

Advances in Difference Equations

Ji Rong¹  Chuanzhi Bai² 

[1] Department of Mathematics, Huaiyin Normal University, Huaian, P.R. China;Department of Mathematics, Jiangsu Normal University, Xuzhou, P.R. China

关键词: Lyapunov inequality;    Caputo fractional derivative;    Mittag-Leffler function;    34A08;    34A40;    26D10;    33E12;   

DOI  :  10.1186/s13662-015-0430-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a Lyapunov-type inequality is obtained for a fractional differential equation under fractional boundary conditions. We then use this inequality to obtain an interval where a certain Mittag-Leffler function has no real zeros.

【 授权许可】

CC BY