Inverse Problems for Fractional Diffusion Equations

This book discusses various inverse problems for the time-fractional diffusion equation, such as inverse coefficient problems (nonlinear problems) and inverse problems for determining the right-hand sides of equations and initial functions (linear problems). The study of inverse problems requires a...

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Detalhes bibliográficos
Autor principal: Durdiev, Durdimurod K. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Recurso Eletrônico livro eletrônico
Idioma:inglês
Publicado em: Singapore : Springer Nature Singapore : Imprint: Springer, 2025.
Edição:1st ed. 2025.
coleção:Industrial and Applied Mathematics,
Assuntos:
Acesso em linha:https://doi.org/10.1007/978-981-96-5338-6
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Sumário:
  • Coeffcient Determination Problems with Local Boundary and Overdetermination Conditions
  • Inverse Coeffcient Problems with Nonlocal Initial and Integral Overdetermination Conditions
  • Coeffcient Determination Problems with Cauchy and Overdetermination Conditions
  • Carleman Estimate Method in Inverse Problems for a Fractional Diffusion Equation
  • Determination of Source and Initial Functions
  • Convolution Kernel Determination Problems in Fractional Diffusion Equations
  • Determining Two Unknown Functions in a Fractional Diffusion Equation.