Fractional Calculus and Applied Analysis.
Walter de Gruyter GmbH.
Vol. 20.
2017.
P. 1424-1446
Lyapunov-type inequalities for a fractional p-Laplacian system
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. © 2017 2017 Diogenes Co., Sofia.
Authors
Jleli M.1
,
Kirane M.2,
3
,
Samet B.
4
Publisher
Walter de Gruyter GmbH
Number of issue
6
Language
English
Pages
1485-1506
Status
Published
Link
Volume
20
Year
2017
Organizations
- 1 Department of Mathematics College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
- 2 LaSIE, Pôle Sciences et Technologies, Université de la Rochelle, Avenue M. Crépeau, La Rochelle, 17042, France
- 3 NAAM Research Group, Department of Mathematics, Faculty of Science King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
- 4 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Keywords
fractional p-Laplacian; generalized spectrum; lower bound; Lyapunov-type inequality; system
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Vol. 56.
2017.
P. 15026-15040