A Novel Approach for Korteweg-de Vries Equation of Fractional Order

被引：30
|
作者：
Jassim, Hassan Kamil [1 ]
Baleanu, Dumitru [2 ,3 ]
机构：
[1] Univ Thi Qar Nasiriyah, Fac Educ Pure Sci, Dept Math, Nasiriyah, Iraq
[2] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-0630 Ankara, Turkey
[3] Inst Space Sci, Magurele, Romania
来源：
JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS | 2019年 / 5卷 / 02期
关键词：
Local fractional operators; Local fractional variational iteration method; Local fractional series expansion method; Korteweg-de Vries; VARIATIONAL ITERATION METHOD; ENTROPY;
D O I：
10.22055/JACM.2018.25732.1292
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
In this study, the local fractional variational iteration method (LFVIM) and the local fractional series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg-de Vries equation (KdVE) within local fractional derivative operators (LFDOs). The efficiency of the considered methods is illustrated by some examples. The results reveal that the suggested algorithms are very effective and simple and can be applied for linear and nonlinear problems in mathematical physics.
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页码：192 / 198
页数：7
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