Reconstructing the right-hand side of a fractional subdiffusion equation from the final data

DOI10.1186/s13660-020-02319-7zbMath1503.35289OpenAlexW3031863597MaRDI QIDQ2069327

Nguyen Hoang Luc, Nguyen-Huu Can, Le Dinh Long, Dumitru Baleanu

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02319-7

zbMATH Keywords

truncation methodinverse source problemtime-fractional diffusion equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11)

Related Items (7)

On a nonlocal problem for parabolic equation with time dependent coefficients ⋮ Approximation of linear one dimensional partial differential equations including fractional derivative with non-singular kernel ⋮ Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations ⋮ On initial inverse problem for nonlinear couple heat with Kirchhoff type ⋮ REGULARIZATION OF CAUCHY PROBLEM FOR 2D TIME-FRACTIONAL DIFFUSION EVOLUTION EQUATIONS ⋮ Identifying the source function for time fractional diffusion with non-local in time conditions ⋮ On comparative analysis for the Black-Scholes model in the generalized fractional derivatives sense via Jafari transform

Cites Work

• Unnamed Item
• Identifying an unknown source in time-fractional diffusion equation by a truncation method
• Heat conduction with memory: a singular kernel problem
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time
• Some recent advances in theory and simulation of fractional diffusion processes
• Waiting-times and returns in high-frequency financial data: An empirical study
• Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
• A linear viscoelasticity problem with a singular memory kernel: an existence and uniqueness result.
• Regularized solution of an inverse source problem for a time fractional diffusion equation
• A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
• Fractional diffusion and wave equations
• Cauchy problem for fractional diffusion-wave equations with variable coefficients
• Optical tomography in medical imaging
• On an inverse source problem for the heat equation. Application to a pollution detection problem
• Identification of Dislocations in Materials from Boundary Measurements
• Thermoacoustic tomography with variable sound speed
• Existence and regularity results of a backward problem for fractional diffusion equations
• An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions
• Basic Theory of Fractional Differential Equations
• Application of inverse source concepts to photoacoustic tomography
• Inverse problems for partial differential equations
• Space-time estimates of linear flow and application to some nonlinear integro-differential equations corresponding to fractional-order time derivative

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