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
Journal
Fractional Calculus and Applied Analysis
Publisher
Walter de Gruyter GmbH
Number of issue
6
Language
English
Pages
1485-1506
Status
Published
Link
External link
DOI
10.1515/fca-2017-0078
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
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/5103/
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