Electron. J. Diff. Equ., Vol. 2015 (2015), No. 88, pp. 1-11.

Lyapunov-type inequalities for fractional boundary-value problems

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.

Show me the PDF file (209 KB), TEX file, and other files for this article.

Mohamed Jleli
Department of Mathematics, College of Science
King Saud University, P.O. Box 2455
Riyadh 11451, Saudi Arabia
email: jleli@ksu.edu.sa
Bessem Samet
Department of Mathematics, College of Science
King Saud University, P.O. Box 2455
Riyadh 11451, Saudi Arabia
email: bsamet@ksu.edu.sa

Return to the EJDE web page