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

被引：18

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.

引用

页数：16

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