A generalized Lyapunov inequality for a higher-order fractional boundary value problem

Journal of inequalities and applications

Dexiang Ma¹ 

关键词: Caputo fractional derivative;    Green’s function;    Lyapunov inequality;    eigenvalue problem;    Mittag-Leffler function;    26A33;    26D10;    33E12;    34A08;   

DOI  :  10.1186/s13660-016-1199-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the paper, we establish a Lyapunov inequality and two Lyapunov-type inequalities for a higher-order fractional boundary value problem with a controllable nonlinear term. Two applications are discussed. One concerns an eigenvalue problem, the other a Mittag-Leffler function.

【 授权许可】

CC BY