Sharp asymptotics in a fractional Sturm-Liouville problem
type: Item
instance of: scholarly article
title: Sharp asymptotics in a fractional Sturm-Liouville problem
zbMATH Open document ID: 1498.34082
author: Pavel Chigansky
author: Marina Kleptsyna
publication date: 2021-08-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1912.10473
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7382477
zbMATH Keywords: fractional calculus
zbMATH Keywords: Sturm-Liouville problems
zbMATH Keywords: asymptotic approximation
MaRDI profile type: Publication
OpenAlex ID: W3042893462
arXiv ID: 1912.10473
cites work: ASYMPTOTIC BEHAVIOR OF THE SPECTRUM OF WEAKLY POLAR INTEGRAL OPERATORS
cites work: Numerical solution of fractional oscillator equation
cites work: Numerical solution of fractional Sturm-Liouville equation in integral form
cites work: Fractional oscillator equation: analytical solution and algorithm for its approximate computation
cites work: Asymptotics of Karhunen-Loève eigenvalues and tight constants for probability distributions of passive scalar transport
cites work: Mixed fractional Brownian motion: a spectral take
cites work: Fractional Sturm-Liouville eigenvalue problems. I.
cites work: Fractional Sturm–Liouville problems for Weber fractional derivatives
cites work: Q4003731
cites work: Eigenvalue problem for fractional differential operator containing left and right fractional derivatives
cites work: Q5699297
cites work: Asymptotic accuracy in estimation of a fractional signal in a small white noise
cites work: Fractional Sturm-Liouville problem
cites work: Variational methods for the fractional Sturm-Liouville problem
cites work: Homogeneous Robin boundary conditions and discrete spectrum of fractional eigenvalue problem
cites work: Advances in modelling and control of non-integer-order systems. 6th conference on non-integer order calculus and its applications, Opole, Poland, September 2014
cites work: Exact and numerical solutions of the fractional Sturm-Liouville problem
cites work: Eigenvalue problems for fractional differential equations with right and left fractional derivatives
cites work: Note on a nonlocal Sturm-Liouville problem with both right and left fractional derivatives
cites work: Gaussian processes: Inequalities, small ball probabilities and applications
cites work: Spectral asymptotics for a class of integro-differential equations arising in the theory of fractional Gaussian processes
cites work: Representation of solutions for Sturm–Liouville eigenvalue problems with generalized fractional derivative
cites work: Q4084751
cites work: Asymptotic behaviour of the spectra of integral convolution operators on a finite interval with homogeneous polar kernels
cites work: Eigenvalue problems of the model from nonlocal continuum mechanics
cites work: Asymptotic Distribution of Eigenvalues of the Kernel in the Kirkwood-Riseman Integral Equation
cites work: Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
DOI: 10.1515/FCA-2021-0031
published in: Fractional Calculus \ Applied Analysis
description: scientific article