Open AccessДробный осциллятор с экспоненциально-степенной функцией памяти
Author(s) -
С.Ш. Рехвиашвили,
А.В. Псху
Publication year - 2022
Publication title -
pisʹma v žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-7471
pISSN - 0320-0116
DOI - 10.21883/pjtf.2022.07.52290.19137
Subject(s) - exponential function , function (biology) , vibration , fractional calculus , power function , physics , mathematical analysis , mathematics , control theory (sociology) , computer science , quantum mechanics , control (management) , evolutionary biology , artificial intelligence , biology
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).