NONHOMOGENEOUS FRACTIONAL BURGERS EQUATION

被引：2
|
作者：
Buesaquillo, Victor G. [1 ]
Perez, Alejandro [2 ]
Rugeles, Alvaro [1 ]
机构：
[1] Univ Narino, Dept Fis, Pasto, Colombia
[2] Univ Nacl Autonoma Mexico, Inst Fis, Mexico City, DF, Mexico
来源：
MOMENTO-REVISTA DE FISICA | 2016年 / 52期
关键词：
Burgers equation; fractional calculus;
D O I：
10.15446/mo.n52.58889
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this article we study solutions of the nonlinear fractional Burgers equation with a nonhomogeneous term associated with external forces. This equation is a generalization of the nonhomogeneous diffusion equation with an additional term that describes a nonlocal nonlinearity by means of a fractional order derivative of Caputo type. By using a generalized Cole-Hopf transformation, the fractional Burgers equation is mapped to a linear partial differential equation, this formalism allows to deduce analytical solutions. We explore the effects related to the nonhomogeneous term and the order of the fractional derivative.
引用
收藏
页码：9 / 24
页数：16
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