Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Machado, J. A. Tenreiro"'
Autor:
Diethelm, Kai, Kiryakova, Virginia, Luchko, Yuri, Machado, J. A. Tenreiro, Tarasov, Vasily E.
Publikováno v:
Nonlinear Dynamics (2022)
The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state of development and to foresee, if possible, the future evolution, or,
Externí odkaz:
http://arxiv.org/abs/2108.04241
Publikováno v:
European Physical Journal Special Topics, 2017, 226(16-18), 3567-3575
In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results bet
Externí odkaz:
http://arxiv.org/abs/1701.05590
Publikováno v:
Physica A: Statistical Mechanics and its Applications, 481, 276-283 (2017)
In this paper, a new fractional operator of variable order with the use of the monotonic increasing function is proposed in sense of Caputo type. The properties in term of the Laplace and Fourier transforms are analyzed and the results for the anomal
Externí odkaz:
http://arxiv.org/abs/1611.09200
Publikováno v:
Thernal Science, 20(2), 753-756, 2016
In this article we propose a new fractional derivative without singular kernel. We consider the potential application for modeling the steady heat-conduction problem. The analytical solution of the fractional-order heat flow is also obtained by means
Externí odkaz:
http://arxiv.org/abs/1601.01623