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

Aidyn Kassymov, Mokhtar Kirane, Berikbol T. Torebek

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 Vallée Poussin-type inequality for the fractional elliptic boundary value problem and Lyapunov-type inequalities for the fractional elliptic systems with Dirichlet conditions.

Original languageBritish English
Pages (from-to)246-258
Number of pages13
JournalComplex Variables and Elliptic Equations
Volume67
Issue number1
DOIs
StatePublished - 2022

Keywords

  • 35P15
  • Caputo derivative
  • De La Vallée Poussin-type inequality
  • fractional order differential equation
  • Lyapunov-type inequality
  • Primary: 35R11
  • Secondary: 26A33

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