FRACTIONAL TREATMENT: AN ACCELERATED MASS-SPRING SYSTEM

被引：0

作者：

Defterli, Ozlem ^{[1
]}

Baleanu, Dumitru ^{[1
,2
,3
]}

Jajarmi, Amin ^{[4
]}

Sajjadi, Samaneh Sadat ^{[5
]}

Alshaikh, Noorhan ^{[6
]}

Asad, Jihad H. ^{[6
]}

机构：

[1] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey

[2] Inst Space Sci, POB MG 23, Bucharest 76900, Romania

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[4] Univ Bojnord, Dept Elect Engn, POB 945311339, Bojnord, Iran

[5] RMIT Univ, Sch Engn, Melbourne, Vic, Australia

[6] Palestine Tech Univ, Dept Phys, Coll Arts & Sci, POB 7, Tulkarm, Palestine

来源：

ROMANIAN REPORTS IN PHYSICS | 2022年 / 74卷 / 04期

关键词：

Mass-spring system; Laplace transform; Fractional Lagrangian; Approximation method; ORDER;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The aim of this manuscript is to study the dynamics of the motion of an accelerated mass-spring system within fractional calculus. To investigate the described system, firstly, we construct the corresponding Lagrangian and derive the classical equations of motion using the Euler-Lagrange equations of integer-order. Furthermore, the generalized Lagrangian is introduced by using non-integer, so-called fractional, derivative operators; then the resulting fractional Euler-Lagrange equations are generated and solved numerically. The obtained results are presented illustratively by using numerical simulations.

引用

页数：13

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