A Lyapunov-type inequality for a fractional boundary value problem

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.

Saved in:
Bibliographic Details
Published inFractional calculus & applied analysis Vol. 16; no. 4; pp. 978 - 984
Main Author Ferreira, Rui A. C.
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.12.2013
Versita
Subjects
Abstract Harmonic Analysis
Analysis
fractional derivative, Green’s function
Functional Analysis
Integral Transforms
Lyapunov’s inequality
Mathematics
Mathematics and Statistics
Mittag-Leffler function
Operational Calculus
Primary: 34A08, 34A40
Research Paper
Secondary: 26D10, 34C10, 33E12
Secondary: 26D10, 34C10, 33E12
Lyapunov’s inequality
Mittag-Leffler function
Primary: 34A08, 34A40
fractional derivative, Green’s function
Online AccessGet full text
ISSN1311-0454
1314-2224
DOI10.2478/s13540-013-0060-5

Cover

More Information
Summary: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.
ISSN:1311-0454
1314-2224
DOI:10.2478/s13540-013-0060-5