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:
Differential equations.
Probabilities.
Fourier analysis.
System theory.
Mathematical physics.
Differential Equations.
Probability Theory.
Fourier Analysis.
Complex Systems.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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