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Developments in Mathematics

Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

Authors: Umarov, Sabir

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  • A novel theory of pseudo-differential operators and equations with symbols singular in dual variables is presented systematically
  • Recent developments in the theory of fractional order differential equations and their various applications are studied
  • Fractional Fokker-Planck-Kolmogorov equations and their connection with the associated stochastic differential equations driven by a time-changed process are discussed in detail
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eBook $99.00
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  • ISBN 978-3-319-20771-1
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Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-20770-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA in USD
  • ISBN 978-3-319-36846-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations. Fractional Fokker-Planck-Kolmogorov equations associated with a large class of stochastic processes are presented. A complex version of the theory of pseudo-differential operators with meromorphic symbols based on the recently introduced complex Fourier transform is developed and applied for initial and boundary value problems for systems of complex differential and pseudo-differential equations.

Reviews

“The book systematically presents the theory of pseudo-differential operators with symbols singular in dual variables. … The book is interesting both for probabilists and for researchers in those areas of functional analysis where pseudo-differential operators arise. The interesting connections are emphasized by a multitude of examples. Additional notes at the end of each chapter provide nice historical insights and help to understand the role of the presented results within the big picture.” (Alexander Schnurr, zbMATH 1331.35005, 2016)


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-3-319-20771-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-20770-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA in USD
  • ISBN 978-3-319-36846-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
Authors
Series Title
Developments in Mathematics
Series Volume
41
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-20771-1
DOI
10.1007/978-3-319-20771-1
Hardcover ISBN
978-3-319-20770-4
Softcover ISBN
978-3-319-36846-7
Series ISSN
1389-2177
Edition Number
1
Number of Pages
XVI, 434
Number of Illustrations
2 b/w illustrations
Topics