Asymptotic Behavior of the One-Dimensional Fisher–Kolmogorov–Petrovskii–Piskunov Equation with Anomalouos Diffusion

Asymptotic Behavior of the One-Dimensional Fisher–Kolmogorov–Petrovskii–Piskunov Equation with Anomalouos Diffusion

Bibliographic Details
Parent link:Russian Physics Journal: Scientific Journal.— , 1965-
Vol. 58, iss. 3.— 2015.— [P. 399-409]
Main Author: Prozorov A. A. Alexander Andreevich
Corporate Author: Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ)
Other Authors: Trifonov A. Yu. Andrey Yurievich, Shapovalov A. V. Aleksandr Vasilyevich
Summary:Title screen
Asymptotic solutions of the nonlocal, one-dimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation with fractional derivatives in the diffusion operator are constructed. The fractional derivative is defined in accordance with the approaches of Weyl, Grьnwald–Letnilkov, and Liouville. Asymptotic solutions are constructed in a class of functions that are a perturbation of the found exact quasistationary solution and tend at large times to this quasistationary solution. It is shown that the presence of fractional derivatives leads to drift of the center of mass of the initial distribution and breaks its symmetry.
Режим доступа: по договору с организацией-держателем ресурса
Language:English
Published: 2015
Series:Elementary particle physics and field theory
Subjects:
электронный ресурс
труды учёных ТПУ
nonlocal fisher
anomalous diffusion
asymmetric solutions
Online Access:http://dx.doi.org/10.1007/s11182-015-0514-9
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=644110

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