Quasi-boundary method for a fractional ill-posed problem

DOI10.7153/FDC-2022-12-03zbMath1524.35312OpenAlexW4285121150WikidataQ113998155 ScholiaQ113998155MaRDI QIDQ6041413

Unnamed Author, Claire Joseph

Publication date: 30 May 2023

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-2022-12-03

zbMATH Keywords

ill-posed problemfractional diffusion equationRiemann-Liouville derivativeinverse-problemquasi-boundary method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Ill-posed problems for PDEs (35R25)

Cites Work

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• Initial value/boundary value problem for composite fractional relaxation equation
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Mittag-Leffler functions and their applications
• Optimal control of fractional diffusion equation
• A modified quasi-boundary value method for ill-posed problems
• The final value problem for evolution equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain
• A fractional-order quasi-reversibility method to a backward problem for the time fractional diffusion equation
• Recovering the space source term for the fractional-diffusion equation with Caputo-Fabrizio derivative
• Identifying the space source term problem for a generalization of the fractional diffusion equation with hyper-Bessel operator
• The quasi-boundary value regularization method for identifying the initial value with discrete random noise
• Quasi-reversibility method to identify a space-dependent source for the time-fractional diffusion equation
• The quasi-reversibility regularization method for identifying the unknown source for time fractional diffusion equation
• On a final value problem for the time-fractional diffusion equation with inhomogeneous source
• Modified quasi‐boundary value method for the multidimensional nonhomogeneous backward time fractional diffusion equation
• A backward problem for the time-fractional diffusion equation

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