Description

Book Synopsis
Primarily a book on partial differential equations with two definite slants: toward inverse problems and to the inclusion of fractional derivatives. The book also has an extensive historical section and the material that can be called fractional calculus' and ordinary differential equations with fractional derivatives.

Table of Contents
  • Preamble
  • Genesis of fractional models
  • Special functions and tools
  • Fractional calculus
  • Fractional ordinary differential equations
  • Mathematical theory of subdiffusion
  • Analysis of fractionally damped wave equations
  • Methods for solving inverse problems
  • Fundamental inverse problems for fractional order models
  • Inverse problems for fractional diffusion
  • Inverse problems for fractionally damped wave equations
  • Outlook beyond Abel
  • Mathematical preliminaries
  • Bibliography
  • Index

Inverse Problems for Fractional Partial

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    A Paperback by Barbara Kaltenbacher, William Rundell

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      Publisher: American Mathematical Society
      Publication Date: Publication Date: 1/15/2023 12:08:00 AM
      ISBN13: 9781470472771, 978-1470472771
      ISBN10: 1470472775
      Also in:
      Differential calculus and equations

      Description

      Book Synopsis
      Primarily a book on partial differential equations with two definite slants: toward inverse problems and to the inclusion of fractional derivatives. The book also has an extensive historical section and the material that can be called fractional calculus' and ordinary differential equations with fractional derivatives.

      Table of Contents
      • Preamble
      • Genesis of fractional models
      • Special functions and tools
      • Fractional calculus
      • Fractional ordinary differential equations
      • Mathematical theory of subdiffusion
      • Analysis of fractionally damped wave equations
      • Methods for solving inverse problems
      • Fundamental inverse problems for fractional order models
      • Inverse problems for fractional diffusion
      • Inverse problems for fractionally damped wave equations
      • Outlook beyond Abel
      • Mathematical preliminaries
      • Bibliography
      • Index

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