Open AccessResponse of the Fractional Damped Oscillator to a Driving Delta Pulse
Author(s) -
Fernando Olivar-Romero
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1540/1/012021
Subject(s) - pulse (music) , physics , fractional calculus , dirac delta function , order (exchange) , mathematical physics , mathematics , quantum mechanics , control theory (sociology) , computer science , control (management) , finance , voltage , artificial intelligence , economics
Exact solutions for a fractional damped oscillator that is acted by a Dirac delta pulse are reported. It is found that the response of the oscillator to such a pulse can be manipulated by either the damping parameter or the fractional order of the corresponding dynamical law.