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

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

Abstract 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.

Bibliographic Details
Main Author: Dexiang Ma
Format: Article
Language:English
Published: SpringerOpen 2016-10-01
Series:Journal of Inequalities and Applications
Subjects:
Caputo fractional derivative
Green’s function
Lyapunov inequality
eigenvalue problem
Mittag-Leffler function
Online Access:http://link.springer.com/article/10.1186/s13660-016-1199-5

Internet

http://link.springer.com/article/10.1186/s13660-016-1199-5

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