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Mathematical Modeling and Computing
Article . 2019 . Peer-reviewed
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Mathematical Modeling and Computing
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Lviv Polytechnic National University Institutional Repository (Електронний науковий архів Науково-технічної бібліотеки Національного університету "Львівська полі)
Article . 2019
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https://dx.doi.org/10.23939/mm...
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Generalized Cattaneo–Maxwell diffusion equation with fractional derivatives. Dispersion relations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 12 Jun 2019Publisher:Lviv Polytechnic National UniversityJournal:Mathematical Modeling and Computing, volume 6, pages 58-68 (issn: 2312-9794, eissn: 2415-3788, Copyright policy )
Authors: P. Kostrobij; B. Markovych; O. Viznovych; I. Zelinska; M. Tokarchuk;

doi: 10.23939/mmc2019.01.058

Generalized Cattaneo–Maxwell diffusion equation with fractional derivatives. Dispersion relations

Abstract

Отримано нове немарковське рівняння дифузії частинок у просторово неоднорідному середовищі з фрактальною структурою та узагальнене рівняння дифузії Кеттано–Максвелла з урахуванням просторово-часової нелокальності. Знайдено дисперсійні співвідношення для рівняння дифузії типу Кеттано–Максвелла з урахуванням просторово-часової нелокальності у дробових похідних. Розраховано частотний спектр, фазову та групову швидкості й показано його хвильову поведінку зі стрибкоподібними розривами, які проявляються також у зміні фазової швидкості.

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Keywords

просторово-часова фрактальність, multifractal time, просторова фрактальність, статистика Рені, nonlocality of space-time, 538.93, узагальнене рівняння дифузії, generalized diffusion equation, Renyi statistics, nonequilibrium statistical operator, часова мультифрактальність, нерівноважний статистичний оператор, spatial fractality

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Top 10%
Top 10%
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gold