Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Sergei Rogosin"'
Autor:
Sergei Rogosin, Maryna Dubatovskaya
Publikováno v:
Mathematics, Vol 9, Iss 15, p 1736 (2021)
In this survey paper, we analyze the development of Fractional Calculus in Russia at the end of the XIX century, in particular, the results by A. V. Letnikov, N. Ya. Sonine, and P. A. Nekrasov. Some of the discussed results are either unknown or inac
Externí odkaz:
https://doaj.org/article/ec5cbf0ddf4b41a08d2b63e49a1efd80
Autor:
Sergei Rogosin
Publikováno v:
Mathematics, Vol 3, Iss 2, Pp 368-381 (2015)
This is a survey paper illuminating the distinguished role of the Mittag-Leffler function and its generalizations in fractional analysis and fractional modeling. The content of the paper is connected to the recently published monograph by Rudolf Gore
Externí odkaz:
https://doaj.org/article/221db4e0c1cb41b49dd91dfca9b35a17
Publikováno v:
Mathematical Modelling and Analysis, Vol 21, Iss 5 (2016)
A three-dimensional unilateral contact problem for articular cartilage layers attached to subchondral bones shaped as elliptic paraboloids is considered in the framework of the biphasic cartilage model. The main novelty of the study is in accounting
Externí odkaz:
https://doaj.org/article/60cdfb3c393e4fc1a96648ca245896b7
Publikováno v:
Acta Metallurgica Slovaca, Vol 21, Iss 4 (2015)
In the paper the strain hardening effect on the contact of a rigid ball and elastic-plastic flat is considered using experiments and finite element method. The experiments were carried out for DC04 steel sheet metal. The flat samples of 20 mm width a
Externí odkaz:
https://doaj.org/article/0ec11ee683704d4f92606b954b328e3a
Autor:
Sergei Rogosin, Maryna Dubatovskaya
Publikováno v:
Mathematics, Vol 6, Iss 1, p 3 (2017)
In this survey paper, we analyze two constructions of fractional derivatives proposed by Aleksey Letnikov (1837–1888) and by André Marchaud (1887–1973), respectively. These derivatives play very important roles in Fractional Calculus and its app
Externí odkaz:
https://doaj.org/article/77b85dab9fdf4b9da8a8c240a92b5957
Autor:
Svetlana Lebed, Sergei Rogosin
Publikováno v:
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, Vol 7, Iss 1, Pp 91-99 (2008)
Optimal design problem for 2D composite materials with different circular inclusions is studied on the base of the potential method combined with functional equation method. Exact geometric description of the optimal distribution of the inclusions is
Externí odkaz:
https://doaj.org/article/c1043e847f004e0d8c9ff1bbc2a5d661
Autor:
Serhii Gryshchuk, Sergei Rogosin
Publikováno v:
Mathematical Modelling and Analysis, Vol 18, Iss 3 (2013)
For 2D bounded composite material geometrically composed by a disk of variable radius r and an outer ring it is determined in an analytic form the x-component of the effective conductivity tensor. Namely, it is shown that the x-component is a sum of
Externí odkaz:
https://doaj.org/article/7179c1bd44a94bb2bb44cce9fa900132
Publikováno v:
Mathematical Modelling and Analysis, Vol 13, Iss 1 (2008)
Analytical methods unifying the study of heat conduction in various type of composite materials are described. Analytical formulas for the effective (macroscopic) conductivity tensor are presented. First Published Online: 14 Oct 2010
Externí odkaz:
https://doaj.org/article/db757aaad75a4d8fbc2032381f7aa088
Autor:
Sergei Rogosin, Maryna Dubatovskaya
Publikováno v:
Fractional Calculus and Applied Analysis. 26:54-69
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2d8346e50e54bfe481b52a15d640547
https://doi.org/10.1007/s13540-022-00119-y
https://doi.org/10.1007/s13540-022-00119-y
Autor:
Sergei Rogosin, L. Khvoshchinskaya
Publikováno v:
Lobachevskii Journal of Mathematics. 42:830-849
A constructive method is proposed for the solution of the Riemann–Hilbert problem which is realized in the case of five singular points. The basic components of this method are the logarithmization of the product of matrix functions and the determi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f27466cb3169dce2b0396c7021410f3f
https://doi.org/10.1134/s199508022104017x
https://doi.org/10.1134/s199508022104017x