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Fractional Calculus and Applied Analysis

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A Lyapunov-type inequality for a fractional boundary value problem

Rui Ferreira
  • Department of Mathematics, Lusophone University of Humanities and Technologies, 1749-024, Lisbon, Portugal
  • Center for Research and Development in Mathematics and Applications, 3810-193, Aveiro, Portugal
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Published Online: 2013-09-13 | DOI: https://doi.org/10.2478/s13540-013-0060-5


In this work we obtain a Lyapunov-type inequality for a fractional differential equation subject to Dirichlet-type boundary conditions. Moreover, we apply this inequality to deduce a criteria for the nonexistence of real zeros of a certain Mittag-Leffler function.

MSC: Primary: 34A08, 34A40; Secondary: 26D10, 34C10, 33E12

Keywords: Lyapunov’s inequality; fractional derivative, Green’s function; Mittag-Leffler function

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About the article

Published Online: 2013-09-13

Published in Print: 2013-12-01

Citation Information: Fractional Calculus and Applied Analysis, ISSN (Online) 1314-2224, ISSN (Print) 1311-0454, DOI: https://doi.org/10.2478/s13540-013-0060-5.

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© 2013 Diogenes Co., Sofia. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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