A note on deconvolution with completely monotone sequences and discrete fractional calculus

DOI10.1090/qam/1479zbMath1476.47029OpenAlexW2749656802MaRDI QIDQ4595132

Lei Li, Jian-Guo Liu

Publication date: 28 November 2017

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/87bd2a16dc9bd302c2b4b79c309795fb7550455c

zbMATH Keywords

fractional calculusRiemann-Liouville derivativeconvolution groupcompletely monotone sequenceconvolution inverse

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Groups and semigroups of linear operators (47D03)

Related Items (7)

Some Compactness Criteria for Weak Solutions of Time Fractional PDEs ⋮ A note on one-dimensional time fractional ODEs ⋮ Optimal Long-Time Decay Rate of Numerical Solutions for Nonlinear Time-Fractional Evolutionary Equations ⋮ Time fractional gradient flows: Theory and numerics ⋮ Cauchy problems for Keller-Segel type time-space fractional diffusion equation ⋮ A Discretization of Caputo Derivatives with Application to Time Fractional SDEs and Gradient Flows ⋮ Using complete monotonicity to deduce local error estimates for discretisations of a multi-term time-fractional diffusion equation

Cites Work

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• Completely monotone sequences and universally prestarlike functions
• On moment sequences and infinitely divisible sequences
• On the concepts of state and free energy in linear viscoelasticity
• Finite difference/spectral approximations for the time-fractional diffusion equation
• On generating functions of Hausdorff moment sequences
• Foundations of Linear Viscoelasticity
• Preface
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Bernstein functions. Theory and applications

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