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A LYAPUNOV-TYPE INEQUALITY FOR A FRACTIONAL BOUNDARY VALUE PROBLEM WITH CAPUTO-FABRIZIO DERIVATIVE
Journal article   Open access  Peer reviewed

A LYAPUNOV-TYPE INEQUALITY FOR A FRACTIONAL BOUNDARY VALUE PROBLEM WITH CAPUTO-FABRIZIO DERIVATIVE

Mokhtar Kirane and Berikbol T. Torebek
JOURNAL OF MATHEMATICAL INEQUALITIES, Vol.12(4), pp.1005-1012
2018
DOI: https://doi.org/10.7153/jmi-2018-12-77

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this work we obtain a Lyapunov-type inequality for a fractional differential equation with Caputo-Fabrizio operator subject to Dirichlet-type boundary conditions. As an application, we obtain a lower bound for the eigenvalues of corresponding equations.
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https://doi.org/10.7153/jmi-2018-12-77View
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