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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
Sabir Umarov
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Description for Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
Hardback. Series: Developments in Mathematics. Num Pages: 450 pages, 2 black & white illustrations, biography. BIC Classification: PBKF; PBT; PHS. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 25. Weight in Grams: 836.
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.
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.
Product Details
Format
Hardback
Publication date
2015
Publisher
Springer International Publishing AG Switzerland
Number of pages
450
Condition
New
Series
Developments in Mathematics
Number of Pages
434
Place of Publication
Cham, Switzerland
ISBN
9783319207704
SKU
V9783319207704
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
“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 ... Read more