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.

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Bibliographic Details
Published in:Journal of function spaces 2015-01, Vol.2015 (2015), p.1-5
Main Authors: Jleli, Mohamed Boussairi, Samet, Bessem, Ragoub, Lakhdar
Format: Article
Language:English
Subjects:
Boundary conditions
Differential equations
Function space
Inequalities
Intervals
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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
DOI:10.1155/2015/468536