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Introduction to fractional and pseudo-differential equations with singular symbols [electronic resource]
- 作者： Umarov, Sabir.
- 其他作者：
- 其他題名：
- Developments in Mathematics,
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： Developments in Mathematics,v.41
- 主題： Difference equations , Mathematics , Partial Differential Equations. , Probability Theory and Stochastic Processes. , Fourier analysis , Statistical Physics, Dynamical Systems and Complexity. , Encyclopaedia of mathematical sciences.
- ISBN： 9783319207711 (electronic bk.) 、 9783319207704 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 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.
- 摘要註: 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.
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讀者標籤：
- 系統號： 005136417 | 機讀編目格式
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