1306.1942 (P. Artale Harris et al.)

Analytic solution of nonlinear fractional Burgers-type equation by
invariant subspace method    [PDF]

P. Artale Harris, R. Garra

In this paper we study the analytic solutions of Burgers-type nonlinear fractional equations by means of the Invariant Subspace Method. We first study a class of nonlinear equations directly related to the time-fractional Burgers equation. Some generalizations linked to the forced time-fractional Burgers equations and variable-coefficient diffusion are also considered. Finally we study a Burgers-type equation involving both space and time-fractional derivatives.

View original: http://arxiv.org/abs/1306.1942