Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 412, Issue 2, Pages 1058-1063Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2013.11.025
Keywords
Lyapunov's inequality; Caputo's fractional derivative; Green's function; Mittag-Leffler function
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Funding
- FEDER founds through COMPETE-Operational Programme Factors of Competitiveness (Programa Operacional Factores de Competitividade)
- Portuguese founds through the Center for Research and Development in Mathematics and Applications (University of Aveiro)
- Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia) [PEst-C/MAT/UI4106/2011, ECOMP-01-0124-FEDER-022690]
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In this work, a Lyapunov-type inequality is obtained for the case when one is dealing with a fractional differential boundary value problem. We then use that result to obtain an interval where a certain Mittag-Leffler function has no real zeros. (C) 2013 Elsevier Inc. All rights reserved.
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