Asymptotic method for solution of oscillatory fractional derivative

Aliev, Fikret Ahmadali; Aliev, Nihan; Hajiyeva, Nazile; Safarova, Nargiz; Aliyeva, Rufana

doi:10.22034/cmde.2021.46895.1973

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	Asymptotic method for solution of oscillatory fractional derivative
Computational Methods for Differential Equations
مقاله 20، دوره 10، شماره 4، دی 2022، صفحه 1123-1130 اصل مقاله (103.17 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.46895.1973
نویسندگان
Fikret Ahmadali Aliev^* ¹^{، 2}؛ Nihan Aliev¹؛ Nazile Hajiyeva¹؛ Nargiz Safarova¹؛ Rufana Aliyeva³
¹Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan.
²Institute of Information Technologies of the National Academy of Sciences of Azerbaijan.
³Nakhchivan 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

مراجع
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Asymptotic method for solution of oscillatory fractional derivative