Lyapunov-type inequalities for a class of fractional differential equations

Donal O’Regan; Bessem Samet

doi:10.13025/28337

Lyapunov-type inequalities for a class of fractional differential equations

Donal O’Regan
, Bessem Samet

Mathematics

King Abdulaziz University
College of Sciences

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

64 Citations (Scopus)

Abstract

In this paper, we establish new Lyapunov-type inequalities for a class of fractional boundary value problems. As an application, we obtain a lower bound for the eigenvalues of corresponding equations.

Original language	English
Article number	247
Journal	Journal of Inequalities and Applications
Volume	2015
Issue number	1
DOIs	https://doi.org/10.13025/28337 https://doi.org/10.1186/s13660-015-0769-2
Publication status	Published - 10 Dec 2015

Keywords

Green’s function
Lyapunov’s inequality
eigenvalue
fractional boundary value problem

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10.13025/28337Licence: CC BY-NC-ND
10.1186/s13660-015-0769-2

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title = "Lyapunov-type inequalities for a class of fractional differential equations",

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N2 - In this paper, we establish new Lyapunov-type inequalities for a class of fractional boundary value problems. As an application, we obtain a lower bound for the eigenvalues of corresponding equations.

AB - In this paper, we establish new Lyapunov-type inequalities for a class of fractional boundary value problems. As an application, we obtain a lower bound for the eigenvalues of corresponding equations.

KW - Green’s function

KW - Lyapunov’s inequality

KW - eigenvalue

KW - fractional boundary value problem

UR - http://hdl.handle.net/10379/13306

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JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

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Lyapunov-type inequalities for a class of fractional differential equations

Abstract

Keywords

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