EXACT TRAVELING-WAVE SOLUTION FOR LOCAL FRACTIONAL BOUSSINESQ EQUATION IN FRACTAL DOMAIN

被引：179

作者：

Yang, Xiao-Jun ^{[1
]}

Tenreiro Machado, J. A. ^{[2
]}

Baleanu, Dumitru ^{[3
,4
]}

机构：

[1] China Univ Min & Technol, Sch Mech & Civil Engn, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Peoples R China

[2] Polytech Porto, Inst Engn, Dept Elect Engn, Rua Dr Antonio Bernardino de Almeida, P-4249015 Oporto, Portugal

[3] Cankya Univ, Dept Math, Ogretmenler Cad 14, TR-06530 Ankara, Turkey

[4] Inst Space Sci, Magurele, Romania

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2017年 / 25卷 / 04期

关键词：

Exact Traveling-Wave Solution; Local Fractional Boussinesq Equation; Local Fractional Derivative; Fractals; CALCULUS; DERIVATIVES;

D O I：

10.1142/S0218348X17400060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The new Boussinesq-type model in a fractal domain is derived based on the formulation of the local fractional derivative. The novel traveling wave transform of the non-differentiable type is adopted to convert the local fractional Boussinesq equation into a nonlinear local fractional ODE. The exact traveling wave solution is also obtained with aid of the non-differentiable graph. The proposed method, involving the fractal special functions, is efficient for finding the exact solutions of the nonlinear PDEs in fractal domains.

引用

页数：7

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