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Titlebook: Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols; Sabir Umarov Book 2015 Springer International Publishi

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书目名称Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
编辑Sabir Umarov
视频videohttp://file.papertrans.cn/474/473715/473715.mp4
概述A novel theory of pseudo-differential operators and equations with symbols singular in dual variables is presented systematically.Recent developments in the theory of fractional order differential equ
丛书名称Developments in Mathematics
图书封面Titlebook: Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols;  Sabir Umarov Book 2015 Springer International Publishi
描述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.
出版日期Book 2015
关键词Complex Fourier Transform; Fokker-Planck-Kolmogorov Equations; Fractional Differential Equations; Levy
版次1
doihttps://doi.org/10.1007/978-3-319-20771-1
isbn_softcover978-3-319-36846-7
isbn_ebook978-3-319-20771-1Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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Fractional calculus and fractional order operators, In this chapter we will discuss the theoretical background of fractional modeling, that is the fractional calculus, including recent developments - distributed and variable fractional order differential operators.
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Distributed and variable order differential-operator equations,r is the mathematical treatment of boundary value problems for general distributed and variable order fractional differential-operator equations. We will study the existence and uniqueness of a solution to initial and multi-point value problems in different function spaces.
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ty of the real-world event logs make it difficult to apply standard process mining techniques, thus process discovery results in spaghetti-like models which are difficult to analyse. Several event abstraction techniques are developed to group-up low-level activities into higher level activities, but
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