Sabir Umarov: 2 books

Book cover of Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
by Sabir Umarov
Language: English
Release Date: August 18, 2015

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...
Book cover of Beyond the Triangle

Beyond the Triangle

Brownian Motion, Ito Calculus, and FokkerPlanck Equation — Fractional Generalizations

by Sabir Umarov, Marjorie Hahn, Kei Kobayashi
Language: English
Release Date: February 12, 2018

The book is devoted to the fundamental relationship between three objects: a stochastic process, stochastic differential equations driven by that process and their associated Fokker–Planck–Kolmogorov equations. This book discusses wide fractional generalizations of this fundamental triple relationship,...
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