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Analytical construction of regulators for oscillatory systems with liquid dampers
F. A. Aliev, N. A. Aliev, N. A. Ismailov
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 d…
Method of discretizing of fractional-derivative linear systems of ordinary differential equations with constant coefficients
Fikret A. Aliev, N. A. Aliev, N. I. Velieva +2
An exact discretization method is being developed for solving linear systems of ordinary fractional-derivative differential equations with constant matrix coefficients (LSOFDDECMC)…
Solving the linear fractional derivatives ordinary differential equations with constant matrix coefficients
Fikret A. Aliev, N. A. Aliev, N. A. Safarova +2
The Cauchy problem for fractional derivatives linear systems of ordinary differential equations with constant coefficients is considered, where at first the analytic expressions ar…
Transformation Mittag-Lefler function to an exponential function and its some applications to problems with a fractional derivative
Fikret A. Aliev, N. A. Aliev, N. A. Safarova. +1
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 ordinar…