Fractional viscoelastic models for power-law materials

A Bonfanti, JL Kaplan, G Charras, A Kabla - Soft Matter, 2020 - pubs.rsc.org
Soft materials often exhibit a distinctive power-law viscoelastic response arising from broad
distribution of time-scales present in their complex internal structure. A promising tool to …

Measuring viscoelasticity of soft biological samples using atomic force microscopy

YM Efremov, T Okajima, A Raman - Soft matter, 2020 - pubs.rsc.org
Mechanical properties play important roles at different scales in biology. At the level of a
single cell, the mechanical properties mediate mechanosensing and mechanotransduction …

[КНИГА][B] Метод дробных производных

ВВ Учайкин - 2008 - elibrary.ru
Книга содержит изложение метода дробных производных и состоит из трех частей,
раскрывающих физические основания метода, математический аппарат и примеры …

Carbon–cement supercapacitors as a scalable bulk energy storage solution

N Chanut, D Stefaniuk, JC Weaver… - Proceedings of the …, 2023 - National Acad Sciences
The large-scale implementation of renewable energy systems necessitates the development
of energy storage solutions to effectively manage imbalances between energy supply and …

[КНИГА][B] Mittag-Leffler functions, related topics and applications

R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin - 2020 - Springer
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

[КНИГА][B] General fractional derivatives with applications in viscoelasticity

XJ Yang, F Gao, Y Ju - 2020 - books.google.com
General Fractional Derivatives with Applications in Viscoelasticity introduces the newly
established fractional-order calculus operators involving singular and non-singular kernels …

[КНИГА][B] Fractional-order systems and controls: fundamentals and applications

CA Monje, YQ Chen, BM Vinagre, D Xue, V Feliu-Batlle - 2010 - books.google.com
Fractional-order Systems and Controls details the use of fractional calculus (calculus of non-
integer order) in the description and modeling of systems, and in a range of control design …

[КНИГА][B] Fractional calculus and waves in linear viscoelasticity: an introduction to mathematical models

F Mainardi - 2022 - books.google.com
Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained
treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation …

[КНИГА][B] The H-function: theory and applications

AM Mathai, RK Saxena, HJ Haubold - 2009 - books.google.com
TheH-function or popularly known in the literature as Fox'sH-function has recently found
applications in a large variety of problems connected with reaction, diffusion, reaction …

The random walk's guide to anomalous diffusion: a fractional dynamics approach

R Metzler, J Klafter - Physics reports, 2000 - Elsevier
Fractional kinetic equations of the diffusion, diffusion–advection, and Fokker–Planck type
are presented as a useful approach for the description of transport dynamics in complex …