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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Umarov, Sabir (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Developments in Mathematics, 41
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols  |h [electronic resource] /  |c by Sabir Umarov. 
250 |a 1st ed. 2015. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2015. 
300 |a XVI, 434 p. 2 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Developments in Mathematics,  |x 2197-795X ;  |v 41 
505 0 |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. 
520 |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. 
650 0 |a Differential equations. 
650 0 |a Probabilities. 
650 0 |a Fourier analysis. 
650 0 |a System theory. 
650 0 |a Mathematical physics. 
650 1 4 |a Differential Equations. 
650 2 4 |a Probability Theory. 
650 2 4 |a Fourier Analysis. 
650 2 4 |a Complex Systems. 
650 2 4 |a Theoretical, Mathematical and Computational Physics. 
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776 0 8 |i Printed edition:  |z 9783319207704 
776 0 8 |i Printed edition:  |z 9783319207728 
776 0 8 |i Printed edition:  |z 9783319368467 
830 0 |a Developments in Mathematics,  |x 2197-795X ;  |v 41 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-20771-1  |z Texto Completo 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)