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Nonhomogeneous fractional burgers equation

Buesaquillo, Victor Y Pérez, Alejandro Y Rugeles, Alvaro (2016) Nonhomogeneous fractional burgers equation. MOMENTO (52). pp. 9-24. ISSN 2256-3830

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Resumen

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.

Tipo de Elemento: Artículo
Palabras Clave: Burgers equation; fractional calculus.
Asunto: Q Ciencias > QC Physics
Division: Facultad de Ciencias Exactas y Naturales > Programa de Física > Productividad
Depósito de Usuario: Phd Álvaro Rugeles Pérez
Fecha Deposito: 29 May 2019 14:11
Ultima Modificación: 29 May 2019 14:11
URI: http://sired.udenar.edu.co/id/eprint/5861

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