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Approximate symmetries and conservation laws of forced fractional oscillator | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 17، دوره 14، شماره 2، اردیبهشت 2023، صفحه 195-205 اصل مقاله (391.42 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25979.3178 | ||
| نویسندگان | ||
| Mehdi Nadjafikhah1؛ Mansoureh Mirala* 2؛ Mohamad Chaichi2 | ||
| 1School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846--13114, Iran | ||
| 2Department of Mathematics, Payame Noor University, Tehran 19395--4697, Iran | ||
| تاریخ دریافت: 30 دی 1400، تاریخ بازنگری: 10 مرداد 1401، تاریخ پذیرش: 18 آبان 1401 | ||
| 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 | ||
| مراجع | ||
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