Asymptotic method for solution of oscillatory fractional derivative

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Ahmaali Aliev Fikret; ALIEV NIHAN; Hajiyeva Nazile; Safarova Nargis; Aliyeva Rufana

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Journal Paper

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Journal: Computational Methods for Differential Equations Year:2022 | Volume:10 | Issue:4 Page(s): 1123-1130

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Title

Asymptotic method for solution of oscillatory fractional derivative

Author(s)

Keywords

Oscillatory systems of fractional derivative

Small parameter

Asymptotic method

Zero and first approximations

Abstract

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.

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APA: Copy

Ahmaali Aliev, Fikret, ALIEV, NIHAN, Hajiyeva, Nazile, Safarova, Nargis, & Aliyeva, Rufana. (2022). Asymptotic method for solution of oscillatory fractional derivative. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 10(4), 1123-1130. SID. https://sid.ir/paper/1057245/en

Vancouver: Copy

Ahmaali Aliev Fikret, ALIEV NIHAN, Hajiyeva Nazile, Safarova Nargis, Aliyeva Rufana. Asymptotic method for solution of oscillatory fractional derivative. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2022;10(4):1123-1130. Available from: https://sid.ir/paper/1057245/en

IEEE: Copy

Fikret Ahmaali Aliev, NIHAN ALIEV, Nazile Hajiyeva, Nargis Safarova, and Rufana Aliyeva, “Asymptotic method for solution of oscillatory fractional derivative,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 10, no. 4, pp. 1123–1130, 2022, [Online]. Available: https://sid.ir/paper/1057245/en

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