分数階・擬微分方程式入門<br>Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols〈1st ed. 2015〉

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紙書籍版価格
¥10,320
  • 電子書籍
  • ポイントキャンペーン

分数階・擬微分方程式入門
Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols〈1st ed. 2015〉

  • 著者名:Umarov, Sabir
  • 価格 ¥9,072 (本体¥8,248)
  • Springer(2015/08/18発売)
  • 3月の締めくくり!Kinoppy 電子書籍・電子洋書 全点ポイント30倍キャンペーン(~3/31)
  • ポイント 2,460pt (実際に付与されるポイントはご注文内容確認画面でご確認下さい)
  • 言語:ENG
  • ISBN:9783319207704
  • eISBN:9783319207711

ファイル: /

Description

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.

Table of Contents

Function Spaces and Distributions.- Pseudo-Differential Operators with Singular Symbols (DOSS).- Fractional Calculus and Fractional Order Operators.- Boundary Value Problems for Pseudo-Differential Equations with Singular Symbols.- Initial and Boundary Value Problems for Fractional Order Differential Equations.- Distributed and Variable Order Differential-Operator Equations.- Fractional Fokker-Planck-Kolmogorov Equations.- Random Walk Approximants of Mixed and Time-Changed Levy Processes.- Complex DOSS and Systems of Complex Differential Equations.- References.