An analytical solution for fractional oscillator in a resisting medium

被引：40
|
作者：
Ismail, G. M. [1 ]
Abdl-Rahim, H. R. [2 ]
Abdel-Aty, A. [3 ,4 ]
Kharabsheh, R. [5 ]
Alharbi, W. [6 ]
Abdel-Aty, M. [1 ,7 ]
机构：
[1] Sohag Univ, Fac Sci, Dept Math, Sohag, Egypt
[2] South Valley Univ, Fac Sci, Dept Math, Qena, Egypt
[3] Univ Bisha, Coll Sci, Dept Phys, Bisha, Saudi Arabia
[4] Al Azhar Univ, Fac Sci, Phys Dept, Assiut 71524, Egypt
[5] Appl Sci Univ, Coll Adm Sci, Eker, Bahrain
[6] Univ Jeddah, Fac Sci, Phys Dept, Jeddah, Saudi Arabia
[7] Zewail City Sci & Technol, Ctr Photon & Smart Mat, October Gardens, Giza 12578, Egypt
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 130卷
关键词：
Natural transform; Fractional oscillator in a resisting medium; Analytical exact solution; Fractional calculus; EQUATION; SOLITON;
D O I：
10.1016/j.chaos.2019.109395
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, an analytical exact solution for the fractional differential equation of the oscillator in a resisting medium was obtained successfully via the natural transform method. The fractional derivatives were described in the Caputo sense. The results illustrated the power, efficiency, simplicity, and reliability of the proposed method. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：4
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