Zobrazeno 1 - 10
of 273
pro vyhledávání: '"Vasily E. Tarasov"'
Autor:
Vasily E. Tarasov
Publikováno v:
Fractal and Fractional, Vol 8, Iss 9, p 535 (2024)
In this work, some properties of the general convolutional operators of general fractional calculus (GFC), which satisfy analogues of the fundamental theorems of calculus, are described. Two types of general fractional (GF) operators on a finite inte
Externí odkaz:
https://doaj.org/article/884132d4a8374ec593bb2a74b3abdac8
Autor:
Vasily E. Tarasov
Publikováno v:
Mathematics, Vol 12, Iss 15, p 2411 (2024)
For the first time, a self-consistent mathematical approach to describe economic processes with a general form of a memory function is proposed. In this approach, power-type memory is a special case of such general memory. The memory is described by
Externí odkaz:
https://doaj.org/article/d0813e9111ec438bae7390db467aad9a
Autor:
Vasily E. Tarasov
Publikováno v:
Mathematics, Vol 12, Iss 7, p 972 (2024)
In this paper, a short review of the calculus of exact finite-differences of integer order is proposed. The finite-difference operators are called the exact finite-differences of integer orders, if these operators satisfy the same characteristic alge
Externí odkaz:
https://doaj.org/article/191abbb0fd2b415fbbbfee18f4c28450
Autor:
Vasily E. Tarasov
Publikováno v:
Mathematics, Vol 11, Iss 20, p 4400 (2023)
Using general fractional calculus (GFC) of the Luchko form and non-holonomic variational equations of Sedov type, generalizations of the standard action principle and first Noether theorem are proposed and proved for non-local (general fractional) no
Externí odkaz:
https://doaj.org/article/97fb4f4312374506bae486c7d0d04f86
Publikováno v:
Foods and Raw Materials, Vol 9, Iss 1, Pp 32-42 (2021)
Introduction. The existing methods of animal fat obtaining have certain disadvantages, hence fat extraction study highly is relevant. Electrochemically activated solutions are known to have a great potential for animal fat extraction. The present pap
Externí odkaz:
https://doaj.org/article/f50f241c96bc42988f2b9c0f8a5a056a
Autor:
Vasily E. Tarasov
Publikováno v:
Entropy, Vol 25, Iss 6, p 919 (2023)
Using the Luchko’s general fractional calculus (GFC) and its extension in the form of the multi-kernel general fractional calculus of arbitrary order (GFC of AO), a nonlocal generalization of probability is suggested. The nonlocal and general fract
Externí odkaz:
https://doaj.org/article/fc22e87917b94b52987bf08a6f6a0105
Autor:
Vasily E. Tarasov
Publikováno v:
Fractal and Fractional, Vol 7, Iss 6, p 481 (2023)
General fractional calculus (GFC) of operators that is defined through the Mellin convolution instead of Laplace convolution is proposed. This calculus of Mellin convolution operators can be considered as an analogue of the Luchko GFC for the Laplace
Externí odkaz:
https://doaj.org/article/64e6029bf6d54381864f4ff89714c8ee
Autor:
Vasily E. Tarasov
Publikováno v:
Mathematics, Vol 11, Iss 7, p 1726 (2023)
An extension of the general fractional calculus (GFC) of an arbitrary order, proposed by Luchko, is formulated. This extension is also based on a multi-kernel approach, in which the Laplace convolutions of different Sonin kernels are used. The propos
Externí odkaz:
https://doaj.org/article/3bbdb3c58d2f4f58b3a77fa2ee8a5ea5
Autor:
Vasily E. Tarasov
Publikováno v:
Mathematics, Vol 11, Iss 7, p 1651 (2023)
An extension of the general fractional calculus (GFC) is proposed as a generalization of the Riesz fractional calculus, which was suggested by Marsel Riesz in 1949. The proposed Riesz form of GFC can be considered as an extension GFC from the positiv
Externí odkaz:
https://doaj.org/article/7f8d8d5089054cf68c3ad9c469aa6366
Autor:
Vasily E. Tarasov
Publikováno v:
Fractal and Fractional, Vol 7, Iss 2, p 137 (2023)
A generalization of probability theory is proposed by using the Riemann–Liouville fractional integrals and the Caputo and Riemann–Liouville fractional derivatives of arbitrary (non-integer and integer) orders. The definition of the fractional pro
Externí odkaz:
https://doaj.org/article/b0603290cfbb4864ab3992feae43b826