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A mathematical model of oscillatory systems control with liquid dampers is considered which differs from the classical ones by replacing the first derivative of such a fractional derivative that is between numbers 0 and 2 other than unity. Using the
Externí odkaz:
http://arxiv.org/abs/2004.10388
In this paper the Mittag-Leffler function is given through the exponential functions for any rational derivatives of m/n order, where m1 are natural irreducible numbers (if n=1 then m is also equal to unity). Unlike the previous papers the give
Externí odkaz:
http://arxiv.org/abs/1904.12737
An exact discretization method is being developed for solving linear systems of ordinary fractional-derivative differential equations with constant matrix coefficients (LSOFDDECMC). It is shown that the obtained linear discrete system in this case do
Externí odkaz:
http://arxiv.org/abs/1903.06468
Akademický článek
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The Cauchy problem for fractional derivatives linear systems of ordinary differential equations with constant coefficients is considered, where at first the analytic expressions are given through the matrix exponent of its corresponding solution. On
Externí odkaz:
http://arxiv.org/abs/1805.06700
In this work at first the relation the Mittag-Lefler function to the exponential is given. The results are applied to the construction of the solution of Cauchy problem for ordinary linear operator differential equations with constant coefficients an
Externí odkaz:
http://arxiv.org/abs/1804.02928
Akademický článek
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With its origins stretching back several centuries, discrete calculus is now an increasingly central methodology for many problems related to discrete systems and algorithms. The topics covered here usually arise in many branches of science and techn
Autor:
Aliev, N. A., Aliev, A. M.
Since the order of elliptic type model equation (Laplace equation) is two [1], [2], then it is natural the order of composite type model equation must be [3] [4] [5] three. At each point of the domain under consideration these equations have both rea
Externí odkaz:
http://arxiv.org/abs/0807.1697
Autor:
Aliev, F. A.1 (AUTHOR), Aliev, N. A.1 (AUTHOR), Velieva, N. I.1 (AUTHOR) nailavi@rambler.ru, Gasimova, K. G.2 (AUTHOR)
Publikováno v:
Journal of Mathematical Sciences. Aug2021, Vol. 256 Issue 5, p567-575. 9p.