rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
  name:
    name part: Umarov, Sabir.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2015
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 434 p. 2 illus. online resource.
  abstract: 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.
  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.
  note: by Sabir Umarov.
  subject:
    topic: Mathematics
  subject:
    topic: Fourier analysis
  subject:
    topic: Partial differential equations
  subject:
    topic: Probabilities
  subject:
    topic: Statistical physics
  subject:
    topic: Dynamical systems
  subject:
    topic: Mathematics
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Fourier Analysis
  subject:
    topic: Statistical Physics, Dynamical Systems and Complexity
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Developments in Mathematics, 41
  identifier: 9783319207711
  identifier: http://dx.doi.org/10.1007/978-3-319-20771-1
  record info:
    record creation date: 150818
    record change date: 20151204185823.0
    record identifier: 978-3-319-20771-1