Approximate symmetries and conservation laws of forced fractional oscillator

نویسندگان
Chaichi, Mohamad ID 1
Nadjafikhah, Mehdi ID 2
Mirala, Mansoureh ID 3

1 Department of Mathematics, Payame Noor University, Tehran 19395--4697, Iran

2 School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846--13114, Iran

3 Department of Mathematics, Payame Noor University, Tehran 19395--4697, Iran

doi
10.22075/ijnaa.2022.25979.3178
چکیده

The approximate equation for the forced fractional oscillator is obtained by approximation of the Riemann- Liouville fractional derivatives. And the approximate symmetries and conservation laws of the forced fractional oscillator are derived when the system is in resonance.

کلیدواژه‌ها
forced fractional oscillator, approximate symmetry, resonance, approximate conservation law