1 option
Introduction to fractional and pseudo-differential equations with singular symbols / by Sabir Umarov.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Umarov, Sabir, Author.
- Series:
- Developments in Mathematics, 1389-2177 ; 41
- Language:
- English
- Subjects (All):
- Differential equations, Partial.
- Probabilities.
- Fourier analysis.
- Statistical physics.
- Dynamics.
- Partial Differential Equations.
- Probability Theory and Stochastic Processes.
- Fourier Analysis.
- Complex Systems.
- Statistical Physics and Dynamical Systems.
- Local Subjects:
- Partial Differential Equations.
- Probability Theory and Stochastic Processes.
- Fourier Analysis.
- Complex Systems.
- Statistical Physics and Dynamical Systems.
- Physical Description:
- 1 online resource (446 p.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- 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.
- 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.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 3-319-20771-7
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.