This article is cited in 5 papers

Fractional oscillator with exponential-power memory function

S. Sh. Rekhviashvili, A. V. Pskhu

Institute of Applied Mathematics and Automatization, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, Nalchik, Russia

Abstract: 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 vibrational processes in low-Q dynamic systems (in particular, mechanical or electrical systems).

Keywords: fractional integro-differentiation, dynamic memory, fractional oscillator, dissipative system, strongly damped system, simulation of damped oscillations.

Received: 14.01.2022
Revised: 24.01.2022
Accepted: 25.01.2022

DOI: 10.21883/PJTF.2022.07.52290.19137

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