Zobrazeno 1 - 10
of 473
pro vyhledávání: '"Teodor M."'
Publikováno v:
Mathematics, Vol 11, Iss 18, p 3850 (2023)
We analyze wave equation for spatially one-dimensional continuum with constitutive equation of non-local type. The deformation is described by a specially selected strain measure with general fractional derivative of the Riesz type. The form of const
Externí odkaz:
https://doaj.org/article/26adbb0f9cc547bebd3e140bf884f79c
Publikováno v:
Fractal and Fractional, Vol 7, Iss 7, p 518 (2023)
A novel two-compartment model for drug release was formulated. The general fractional derivatives of a specific type and distributed order were used in the formulation. Earlier used models in pharmacokinetics with fractional derivatives follow as spe
Externí odkaz:
https://doaj.org/article/3a7a26b7a4a54801a52114066d53d724
Publikováno v:
Fractal and Fractional, Vol 6, Iss 10, p 617 (2022)
We studied a Zener-type model of a viscoelastic body within the context of general fractional calculus and derived restrictions on coefficients that follow from the dissipation inequality, which is the entropy inequality under isothermal conditions.
Externí odkaz:
https://doaj.org/article/ef9d12a130a041b0b2eaf669cf419f50
Publikováno v:
Frontiers in Neurology, Vol 12 (2021)
Neurointensive care (NIC) has contributed to great improvements in clinical outcomes for patients with severe traumatic brain injury (TBI) by preventing, detecting, and treating secondary insults and thereby reducing secondary brain injury. Tradition
Externí odkaz:
https://doaj.org/article/f920024c23964ffbbde6bd3cff1504fb
Publikováno v:
Mathematics, Vol 10, Iss 10, p 1708 (2022)
Here, we study the internal variable approach to viscoelasticity. First, we generalize the classical approach by introducing a fractional derivative into the equation for time evolution of the internal variables. Next, we derive restrictions on the c
Externí odkaz:
https://doaj.org/article/748a9f88b1b045a7a695a5ed9cda02b5
Publikováno v:
Mathematics, Vol 8, Iss 3, p 334 (2020)
We study optimal shape of an inverted elastic column with concentrated force at the end and in the gravitational field. We generalize earlier results on this problem in two directions. First we prove a theorem on the bifurcation of nonlinear equilibr
Externí odkaz:
https://doaj.org/article/bfd272ac7a2c4d14925b017d06ee8642
Publikováno v:
Abstract and Applied Analysis, Vol 2011 (2011)
We discuss thermodynamical restrictions for a linear constitutive equation containing fractional derivatives of stress and strain of different orders. Such an equation generalizes several known models. The restrictions on coefficients are derived by
Externí odkaz:
https://doaj.org/article/fc3df318967f479686ddffc580cf7e7b
Publikováno v:
In Physica D: Nonlinear Phenomena 15 December 2023 456
Publikováno v:
Zeitschrift f\''ur Angewandte Mathematik und Mechanik (ZAMM), 99 (2019) e201800284-1-20
Static stability problem for axially compressed rotating nano-rod clamped at one and free at the other end is analyzed by the use of bifurcation theory. It is obtained that the pitchfork bifurcation may be either super- or sub-critical. Considering t
Externí odkaz:
http://arxiv.org/abs/1811.12057
