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Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems
Journal article   Peer reviewed

Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems

Aidyn Kassymov, Mokhtar Kirane and Berikbol T. Torebek
Complex variables and elliptic equations, Vol.67(1), pp.246-258
02/01/2022
DOI: https://doi.org/10.1080/17476933.2020.1825393

Abstract

Caputo derivative De La Vallée Poussin-type inequality fractional order differential equation Lyapunov-type inequality Primary: 35R11 Secondary: 26A33
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 Vallée Poussin-type inequality for the fractional elliptic boundary value problem and Lyapunov-type inequalities for the fractional elliptic systems with Dirichlet conditions.

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