Zobrazeno 1 - 10
of 204
pro vyhledávání: '"Teodor M. Atanackovic"'
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:
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:
Journal of Pharmacokinetics and Pharmacodynamics.
This study presents a new two compartmental model with, recently defined General fractional derivative. We review that concept of General fractional derivative and use the kernel function that generalizes the classical Caputo derivative in a mathemat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00074d40739127f86908bf922d346b80
https://doi.org/10.1007/s10928-022-09834-8
https://doi.org/10.1007/s10928-022-09834-8
Publikováno v:
Acta Mechanica. 232(3):1131-1146
A variational principle of Herglotz type with a Lagrangian that depends on fractional derivatives of both real and complex orders is formulated, and the invariance of this principle under the action of a local group of symmetries is determined. By th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf26370914bcc8a9d9a5557ddcbf092b
https://doi.org/10.1007/s00707-020-02893-3
https://doi.org/10.1007/s00707-020-02893-3
Publikováno v:
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 102
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e7eed1cf60b53bfb7c694f67ffa9d36
https://doi.org/10.1002/zamm.202100183
https://doi.org/10.1002/zamm.202100183
Autor:
Teodor M. Atanackovic
Publikováno v:
Comptes Rendus Mécanique. 347:626-631
We analyze the problem of finding the shape of the tallest column. For the system of equations that determine the optimal shape we construct a variational principle and two new first integrals. From the first integrals we are able to determine, analy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94a80cddacf3fd2c8eb949bbb71e7ac0
https://doi.org/10.1016/j.crme.2019.09.001
https://doi.org/10.1016/j.crme.2019.09.001
Publikováno v:
Acta Mechanica. 230(12):4357-4365
© 2019, Springer-Verlag GmbH Austria, part of Springer Nature. We derive optimality conditions for variational problems of Herglotz type whose Lagrangian depends on fractional derivatives of both real and complex order, and resolve the case of subdo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8ef579bd20f345347bb7bd0cb589674
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073834132&origin=inward
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073834132&origin=inward