Lyapunov-type inequalities for a fractional p-Laplacian system

Mohamed Jleli; Mokhtar Kirane; Bessem Samet

doi:10.1515/fca-2017-0078

Lyapunov-type inequalities for a fractional p-Laplacian system

Mohamed Jleli, Mokhtar Kirane, Bessem Samet

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

In this paper, we establish Lyapunov-type inequalities for a fractional p-Laplacian system in an open bounded subset Ω ^N RN under Dirichlet boundary conditions. As an application of the obtained inequalities, we establish some geometric properties of the generalized spectrum associated to the considered system.

Original language	British English
Pages (from-to)	1485-1506
Number of pages	22
Journal	Fractional Calculus and Applied Analysis
Volume	20
Issue number	6
DOIs	https://doi.org/10.1515/fca-2017-0078
State	Published - 20 Dec 2017

Keywords

fractional p-Laplacian
generalized spectrum
lower bound
Lyapunov-type inequality
system

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title = "Lyapunov-type inequalities for a fractional p-Laplacian system",

abstract = "In this paper, we establish Lyapunov-type inequalities for a fractional p-Laplacian system in an open bounded subset Ω N RN under Dirichlet boundary conditions. As an application of the obtained inequalities, we establish some geometric properties of the generalized spectrum associated to the considered system.",

keywords = "fractional p-Laplacian, generalized spectrum, lower bound, Lyapunov-type inequality, system",

author = "Mohamed Jleli and Mokhtar Kirane and Bessem Samet",

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AU - Jleli, Mohamed

AU - Kirane, Mokhtar

AU - Samet, Bessem

PY - 2017/12/20

Y1 - 2017/12/20

N2 - In this paper, we establish Lyapunov-type inequalities for a fractional p-Laplacian system in an open bounded subset Ω N RN under Dirichlet boundary conditions. As an application of the obtained inequalities, we establish some geometric properties of the generalized spectrum associated to the considered system.

AB - In this paper, we establish Lyapunov-type inequalities for a fractional p-Laplacian system in an open bounded subset Ω N RN under Dirichlet boundary conditions. As an application of the obtained inequalities, we establish some geometric properties of the generalized spectrum associated to the considered system.

KW - fractional p-Laplacian

KW - generalized spectrum

KW - lower bound

KW - Lyapunov-type inequality

KW - system

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JO - Fractional Calculus and Applied Analysis

JF - Fractional Calculus and Applied Analysis

IS - 6

ER -

Lyapunov-type inequalities for a fractional p-Laplacian system

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