Regularized Reconstruction of the Order in Semilinear Subdiffusion with Memory

DOI10.1007/978-981-15-1592-7_10zbMath1437.65125OpenAlexW3004810795MaRDI QIDQ3299971

Nataliya Vasylyeva, Sergii V. Siryk, Mykola Valeriiovych Krasnoschok, Sergei V. Pereverzyev

Publication date: 27 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-1592-7_10

zbMATH Keywords

inverse problemregularization methodmaterials with memoryCaputo derivativesubdiffusion quasilinear equationsquasioptimality approach

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (4)

A subdiffusive Navier-Stokes-Voigt system ⋮ Linear subdiffusion in weighted fractional Hölder spaces ⋮ Initial-boundary value problems to semilinear multi-term fractional differential equations ⋮ Determination of the fractional order in semilinear subdiffusion equations

Cites Work

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• An inverse problem to estimate an unknown order of a Riemann-Liouville fractional derivative for a fractional Stokes' first problem for a heated generalized second grade fluid
• Regularization theory for ill-posed problems. Selected topics
• The Rayleigh--Stokes problem for a heated generalized second-grade fluid with fractional derivative model
• Solvability of linear boundary value problems for subdiffusion equations with memory
• Semilinear subdiffusion with memory in the one-dimensional case
• Numerical inversion for the multiple fractional orders in the multiterm TFDE
• Waiting-times and returns in high-frequency financial data: An empirical study
• Modeling extreme-event precursors with the fractional diffusion equation
• A note on the application of the Guermond-Pasquetti mass lumping correction technique for convection-diffusion problems
• Goal-based portfolio choice model with discounted preference
• Algorithms for the fractional calculus: a selection of numerical methods
• Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
• Parameter Choice Strategies for Multipenalty Regularization
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Bayesian approach to a nonlinear inverse problem for a time-space fractional diffusion equation
• Reconstruction of an order of derivative and a source term in a fractional diffusion equation from final measurements
• Semilinear subdiffusion with memory in multidimensional domains
• Use of the regularization method in non-linear problems
• From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion

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