Inverse Problems For Fractional Partial Differential Equations
Download and Read Inverse Problems For Fractional Partial Differential Equations full books in PDF, ePUB, and Kindle. Read online free Inverse Problems For Fractional Partial Differential Equations ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Inverse Problems for Fractional Partial Differential Equations
Author | : Barbara Kaltenbacher |
Publisher | : American Mathematical Society |
Total Pages | : 522 |
Release | : 2023-07-13 |
Genre | : Mathematics |
ISBN | : 1470472775 |
Download Inverse Problems for Fractional Partial Differential Equations Book in PDF, Epub and Kindle
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.
Inverse Problems for Fractional Partial Differential Equations Related Books
Pages: 522
Pages: 234
Pages: 220
Pages: 296
Pages: 218