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|a 9783319207711
|9 978-3-319-20771-1
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|a 10.1007/978-3-319-20771-1
|2 doi
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|a QA370-380
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|a 515.35
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|a Umarov, Sabir.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
|h [electronic resource] /
|c by Sabir Umarov.
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|a 1st ed. 2015.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2015.
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|a XVI, 434 p. 2 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Developments in Mathematics,
|x 2197-795X ;
|v 41
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|a 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.
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|a 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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|a Differential equations.
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|a Probabilities.
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|a Fourier analysis.
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|a System theory.
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|a Mathematical physics.
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|a Differential Equations.
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|a Probability Theory.
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|a Fourier Analysis.
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650 |
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|a Complex Systems.
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650 |
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|a Theoretical, Mathematical and Computational Physics.
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710 |
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783319207704
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|i Printed edition:
|z 9783319207728
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|i Printed edition:
|z 9783319368467
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830 |
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|a Developments in Mathematics,
|x 2197-795X ;
|v 41
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856 |
4 |
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|u https://doi.uam.elogim.com/10.1007/978-3-319-20771-1
|z Texto Completo
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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