Mohamed Jleli, Bessem Samet
Abstract:
In this article, we establish some Lyapunov-type inequalities for
fractional boundary-value problems under Sturm-Liouville boundary conditions.
As applications, we obtain intervals where linear combinations of certain
Mittag-Leffler functions have no real zeros. We deduce also nonexistence
results for some fractional boundary-value problems.
Submitted January 2, 2015. Published April 10, 2015.
Math Subject Classifications: 4A08, 34A40, 26D10, 33E12.
Key Words: Lyapunov's inequality; Caputo's fractional derivative;
Sturm-Liouville boundary condition.
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Mohamed Jleli Department of Mathematics, College of Science King Saud University, P.O. Box 2455 Riyadh 11451, Saudi Arabia email: jleli@ksu.edu.sa |
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Bessem Samet Department of Mathematics, College of Science King Saud University, P.O. Box 2455 Riyadh 11451, Saudi Arabia email: bsamet@ksu.edu.sa |
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