The backward problem for a nonlinear Riesz-Feller diffusion equation

DOI10.1007/s40306-018-0255-2zbMath1395.65058OpenAlexW2794968771WikidataQ130064275 ScholiaQ130064275MaRDI QIDQ723712

Dinh Nguyen Duy Hai, Dang Duc Trong

Publication date: 24 July 2018

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-018-0255-2

zbMATH Keywords

regularizationerror estimateill-posed problemspace-fractional backward diffusion problem

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear ill-posed problems (47J06) 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) Linear operators and ill-posed problems, regularization (47A52) Fractional partial differential equations (35R11)

Related Items

Stability Results for Backward Nonlinear Diffusion Equations with Temporal Coupling Operator of Local and Nonlocal Type ⋮ The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation ⋮ Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem ⋮ RECOVERY OF THE TEMPERATURE DISTRIBUTION IN A MULTILAYER FRACTIONAL DIFFUSION EQUATION

Cites Work

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• On a Riesz-Feller space fractional backward diffusion problem with a nonlinear source
• A new \textit{a posteriori} parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem
• A modified integral equation method of the semilinear backward heat problem
• Sharp estimates for approximations to a nonlinear backward heat equation
• A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends
• Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
• Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
• Some recent advances in theory and simulation of fractional diffusion processes
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A mollification method for ill-posed problems
• An optimal regularization method for space-fractional backward diffusion problem
• Inverse problem for nonlinear backward space-fractional diffusion equation
• Two regularization methods for solving a Riesz–Feller space-fractional backward diffusion problem
• A regularization for a Riesz–Feller space-fractional backward diffusion problem
• The fundamental solution of the space-time fractional diffusion equation
• An inverse problem for space‐fractional backward diffusion problem
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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