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Published Books


Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
Published by Springer, ISBN 978-3-319-20770-4, 978-3-319-20771-1 (eBook)
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. Fractional Duhamel's principle is developed and presented in detail. 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. Each chapter contains Additonal Notes on historical facts, relevant results, open problems, and references for further reading.

Front Matter
Corrigenda
Back Matter