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A new model of damped vibrations of an oscillator based on the use of the mathematical apparatus of fractional integro-differentiation with an exponential-power function of dynamic memory is considered. Using the Wright function, the exact solution of the equation of motion of the oscillator is obtained. Theoretical analysis shows that the model can be effectively used to describe oscillatory processes in low-Q dynamic (in particular, mechanical or electrical) systems.
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Рехвиашвили et al. (2022) studied this question.
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