Abstract

BUESAQUILLO, Victor G; PEREZ, Alejandro  and  RUGELES, Alvaro. NONHOMOGENEOUS FRACTIONAL BURGERS EQUATION. Momento [online]. 2016, n.52, pp.9-24. ISSN 0121-4470.

Abstract 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.

Keywords : Burgers equation; fractional calculus.

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