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Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow
Journal article   Peer reviewed

Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow

Yang Xiao-Jun, J Tenreiro Machado, Jordan Hristov and Xiao-Jun Yang
Nonlinear dynamics, Vol.84(1), pp.3-7
01/04/2016
DOI: https://doi.org/10.1007/s11071-015-2085-2

Abstract

Conservation laws Nonlinear dynamics
The local fractional Burgers’ equation (LFBE) is investigated from the point of view of local fractional conservation laws envisaging a nonlinear local fractional transport equation with a linear non-differentiable diffusion term. The local fractional derivative transformations and the LFBE conversion to a linear local fractional diffusion equation are analyzed.

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