Similarity solution to fractional nonlinear space-time diffusion-wave equation

被引：19
|
作者：
Silva Costa, F. [1 ]
Marao, J. A. P. F. [1 ]
Alves Soares, J. C. [2 ]
Capelas de Oliveira, E. [2 ]
机构：
[1] UEMA, DEMATI, Dept Math, BR-65054970 San Luis, MA, Brazil
[2] Univ Estadual Campinas, Imecc, Dept Appl Math, BR-13083859 Campinas, SP, Brazil
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 03期
关键词：
ASYMPTOTIC-BEHAVIOR;
D O I：
10.1063/1.4915293
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this article, the so-called fractional nonlinear space-time wave-diffusion equation is presented and discussed. This equation is solved by the similarity method using fractional derivatives in the Caputo, Riesz-Feller, and Riesz senses. Some particular cases are presented and the corresponding solutions are shown by means of 2-D and 3-D plots. (C) 2015 AIP Publishing LLC.
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收藏
页数：16
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