@article{664725d868d648e78a4bbc2edfde667d,
title = "Lyapunov, Hartman-Wintner and De La Vall{\'e}e Poussin-type inequalities for fractional elliptic boundary value problems",
abstract = "In this paper, we show Lyapunov and Hartman-Wintner-type inequalities for a fractional partial differential equations with Dirichlet conditions and we give some applications of these inequalities for the eigenvalue problem. Also, we give de La Vall{\'e}e Poussin-type inequality for the fractional elliptic boundary value problem and Lyapunov-type inequalities for the fractional elliptic systems with Dirichlet conditions.",
keywords = "35P15, Caputo derivative, De La Vall{\'e}e Poussin-type inequality, fractional order differential equation, Lyapunov-type inequality, Primary: 35R11, Secondary: 26A33",
author = "Aidyn Kassymov and Mokhtar Kirane and Torebek, {Berikbol T.}",
note = "Funding Information: The research of Kassymov is financially supported by the Fonds Wetenschappelijk Onderzoek (FWO) Odysseus 1 grant G.0H94.18N: Analysis and Partial Differential Equations. The research of Kirane is supported by NAAM research group, University of King Abdulaziz, Jeddah. The research of Torebek is financially supported by the FWO Odysseus 1 grant G.0H94.18N: Analysis and Partial Differential Equations and by Ministry of Science and Education of the Republic of Kazakhstan [grant number AP08052046]. Publisher Copyright: {\textcopyright} 2020 Informa UK Limited, trading as Taylor & Francis Group.",
year = "2022",
doi = "10.1080/17476933.2020.1825393",
language = "British English",
volume = "67",
pages = "246--258",
journal = "Complex Variables and Elliptic Equations",
issn = "1747-6933",
publisher = "Taylor and Francis Ltd.",
number = "1",
}