LANDWEBER ITERATIVE METHOD FOR AN INVERSE SOURCE PROBLEM OF TIME-FRACTIONAL DIFFUSION-WAVE EQUATION ON SPHERICALLY SYMMETRIC DOMAIN

DOI10.11948/20180279zbMath1473.65174OpenAlexW3003229185MaRDI QIDQ4964058

Fan Yang, Ni Wang, Xiao-Xiao Li

Publication date: 24 February 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20180279

zbMATH Keywords

inverse problemdiscrepancy principleregularization methodill-posed problemLandweber iterationinverse source problemCaputo fractional derivativegeneralized Mittag-Leffler functiontime-fractional diffusion-wave equationspherically symmetric domain

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Fractional derivatives and integrals (26A33) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Mittag-Leffler functions and generalizations (33E12) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fractional partial differential equations (35R11)

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Three Landweber iterative methods for solving the initial value problem of time-fractional diffusion-wave equation on spherically symmetric domain, A fractional Landweber iterative regularization method for stable analytic continuation, A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions, A space-time spectral method for the inverse source problems of the damped wave equation with memory, Identify the Robin coefficient in an inhomogeneous time-fractional diffusion-wave equation, The fractional Landweber method for identifying the space source term problem for time-space fractional diffusion equation, Iteration regularization method for a sideways problem of time-fractional diffusion equation

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