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Asymptotic method for solution of oscillatory fractional derivative | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 28 آبان 1400 اصل مقاله (156.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2021.46895.1973 | ||
| نویسندگان | ||
Fikret Ahmadali Aliev  1؛ Nihan Aliev2؛ Nazile Hajiyeva2؛ Nargiz Safarova2؛ Rufana Aliyeva3
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| 1Institute of Applied Mathematics, Baku State University,,Z.Khalilov str.23, AZ1148, Baku Azerbaijan | ||
| 2Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan | ||
| 3Nakhchican State University, Nakhchivan, Azerbaijan | ||
| چکیده | ||
| In the paper an oscillatory system with liquid dampers is considered, when the mass of the head is large enough. By means of expedient transformations, the equation of motion with fractional derivatives is reduced to an equation of fractional order containing a small parameter. The corresponding nonlocal boundary value problem is solved and the zero and first approximations of solutions of the relative small parameter are constructed. The results are illustrated on the concrete example, where the solution differs from the analytical solution by 10^-2 order. | ||
| کلیدواژه‌ها | ||
| Oscillatory systems of fractional derivative؛ small parameter؛ asymptotic method؛ zero and first approximations | ||
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آمار تعداد مشاهده مقاله: 78 تعداد دریافت فایل اصل مقاله: 62 |
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