Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
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...
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2015, 2015
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| Edition: | 1st ed. 2015 |
| Series: | Developments in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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