Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

Released on by Sabir Umarov
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  • Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols Book Detail

  • Author : Sabir Umarov
  • Release Date : 2015-08-18
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 446
  • ISBN 13 : 3319207717
  • File Size : 10,10 MB
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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols by Sabir Umarov PDF Summary

Book Description: 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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