Inverse Problems for Fractional Partial Differential Equations is popular PDF and ePub book, written by Barbara Kaltenbacher in 2023-07-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Inverse Problems for Fractional Partial Differential Equations can be Read Online from any device for your convenience.
Inverse Problems for Fractional Partial Differential Equations Book PDF Summary
As the title of the book indicates, this is primarily a book on partial differential equations (PDEs) with two definite slants: toward inverse problems and to the inclusion of fractional derivatives. The standard paradigm, or direct problem, is to take a PDE, including all coefficients and initial/boundary conditions, and to determine the solution. The inverse problem reverses this approach asking what information about coefficients of the model can be obtained from partial information on the solution. Answering this question requires knowledge of the underlying physical model, including the exact dependence on material parameters. The last feature of the approach taken by the authors is the inclusion of fractional derivatives. This is driven by direct physical applications: a fractional derivative model often allows greater adherence to physical observations than the traditional integer order case. The book also has an extensive historical section and the material that can be called "fractional calculus" and ordinary differential equations with fractional derivatives. This part is accessible to advanced undergraduates with basic knowledge on real and complex analysis. At the other end of the spectrum, lie nonlinear fractional PDEs that require a standard graduate level course on PDEs.
Detail Book of Inverse Problems for Fractional Partial Differential Equations PDF
- Author : Barbara Kaltenbacher
- Release : 13 July 2023
- Publisher : American Mathematical Society
- ISBN : 9781470472771
- Genre : Mathematics
- Total Page : 522 pages
- Language : English
- PDF File Size : 18,9 Mb
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