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Article Dans Une Revue Fractional Calculus and Applied Analysis Année : 2021

Sharp asymptotics in a fractional Sturm-Liouville problem

Pavel Chigansky
  • Fonction : Auteur
Dmytro Marushkevych
  • Fonction : Auteur
Marina Kleptsyna

Résumé

Abstract The current research of fractional Sturm-Liouville boundary value problems focuses on the qualitative theory and numerical methods, and much progress has been recently achieved in both directions. The objective of this paper is to explore a different route, namely, construction of explicit asymptotic approximations for the solutions. As a study case, we consider a problem with left and right Riemann-Liouville derivatives, for which our analysis yields asymptotically sharp estimates for the sequence of eigenvalues and eigenfunctions.

Dates et versions

hal-03658943 , version 1 (04-05-2022)

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Citer

Pavel Chigansky, Dmytro Marushkevych, Marina Kleptsyna. Sharp asymptotics in a fractional Sturm-Liouville problem. Fractional Calculus and Applied Analysis, 2021, 24 (3), pp.715-738. ⟨10.1515/fca-2021-0031⟩. ⟨hal-03658943⟩

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