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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols (Hardcover, 1st ed. 2015)
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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols (Hardcover, 1st ed. 2015)
Series: Developments in Mathematics, 41
Expected to ship within 12 - 17 working days
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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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