4.5 Article

On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function

期刊

出版社

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2013.11.025

关键词

Lyapunov's inequality; Caputo's fractional derivative; Green's function; Mittag-Leffler function

资金

  1. FEDER founds through COMPETE-Operational Programme Factors of Competitiveness (Programa Operacional Factores de Competitividade)
  2. Portuguese founds through the Center for Research and Development in Mathematics and Applications (University of Aveiro)
  3. Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia) [PEst-C/MAT/UI4106/2011, ECOMP-01-0124-FEDER-022690]

向作者/读者索取更多资源

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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