On the fractional Harry Dym equation

被引：10
|
作者：
Costa, Felix S. [1 ]
Soares, Junior C. A. [2 ]
Plata, Adrian R. G. [3 ]
de Oliveira, Edmundo C. [4 ]
机构：
[1] Univ Estadual Maranhao, Dept Math, DEMATI, UEMA, BR-65054970 Sao Luis, MA, Brazil
[2] Univ Estado Mato Grosso, Dept Math, BR-78390970 Barra Do Bugres, MT, Brazil
[3] Univ Mil Nueva Granada, Dept Math, Cajica 250247, Cun, Colombia
[4] Univ Estadual Campinas, Dept Appl Math, Imecc, BR-13083859 Campinas, SP, Brazil
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 03期
关键词：
Fractional nonlinear differential equation; Caputo derivatives; Similarity reductions; Anomalous diffusion; Wave equation; Wavefronts; ANOMALOUS RELAXATION; MODELS; DIFFUSION;
D O I：
10.1007/s40314-017-0484-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present and discuss the general case of a fractional nonlinear partial differential equation using similarity reductions and recover results associated with Harry Dym-type equations. Particular cases are discussed and some plots illustrate the results. The fractional derivative is considered in the Caputo sense.
引用
收藏
页码：2862 / 2876
页数：15
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