A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition

We establish a new Lyapunov-type inequality for a class of fractional differential equations under Robin boundary conditions. The obtained inequality is used to obtain an interval where a linear combination of certain Mittag-Leffler functions has no real zeros.

Bibliographic Details
Main Authors: Mohamed Jleli, Lakhdar Ragoub, Bessem Samet
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/468536
Description
Summary:We establish a new Lyapunov-type inequality for a class of fractional differential equations under Robin boundary conditions. The obtained inequality is used to obtain an interval where a linear combination of certain Mittag-Leffler functions has no real zeros.
ISSN:2314-8896
2314-8888